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51220534352304 = 24323894093127363
BaseRepresentation
bin10111010010101101101011…
…10000010101100110110000
320201100122011002212112221010
423221112311300111212300
523203144123243233204
6300534215540230520
713534363406301402
oct1351266560254660
9221318132775833
1051220534352304
1115358563363a79
1258b2a7139b440
1322770ca3076b5
14c91130d92b72
155dc56c467d89
hex2e95b5c159b0

51220534352304 has 160 divisors (see below), whose sum is σ = 139659333373440. Its totient is φ = 16143616456704.

The previous prime is 51220534352287. The next prime is 51220534352321. The reversal of 51220534352304 is 40325343502215.

51220534352304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (51220534352287) and next prime (51220534352321).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 402098127 + ... + 402225489.

It is an arithmetic number, because the mean of its divisors is an integer number (872870833584).

Almost surely, 251220534352304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51220534352304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69829666686720).

51220534352304 is an abundant number, since it is smaller than the sum of its proper divisors (88438799021136).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

51220534352304 is a wasteful number, since it uses less digits than its factorization.

51220534352304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131579 (or 131573 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 39.

Adding to 51220534352304 its reverse (40325343502215), we get a palindrome (91545877854519).

The spelling of 51220534352304 in words is "fifty-one trillion, two hundred twenty billion, five hundred thirty-four million, three hundred fifty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 89 92 138 178 184 267 276 356 368 534 552 712 1068 1104 1424 2047 2136 4093 4094 4272 6141 8186 8188 12279 12282 16372 16376 24558 24564 32744 32752 49116 49128 65488 94139 98232 98256 127363 188278 196464 254726 282417 364277 376556 382089 509452 564834 728554 753112 764178 1018904 1092831 1129668 1457108 1506224 1528356 2037808 2185662 2259336 2914216 2929349 3056712 4371324 4518672 5828432 5858698 6113424 8378371 8742648 8788047 11335307 11717396 16756742 17485296 17576094 22670614 23434792 25135113 33513484 34005921 35152188 45341228 46869584 50270226 67026968 68011842 70304376 90682456 100540452 134053936 136023684 140608752 181364912 201080904 260712061 272047368 402161808 521296759 521424122 544094736 782136183 1042593518 1042848244 1563890277 1564272366 2085187036 2085696488 3127780554 3128544732 4170374072 4171392976 6255561108 6257089464 8340748144 11989825457 12511122216 12514178928 23979650914 25022244432 35969476371 46395411551 47959301828 71938952742 92790823102 95918603656 139186234653 143877905484 185581646204 191837207312 278372469306 287755810968 371163292408 556744938612 575511621936 742326584816 1067094465673 1113489877224 2134188931346 2226979754448 3201283397019 4268377862692 6402566794038 8536755725384 12805133588076 17073511450768 25610267176152 51220534352304