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18941308672 = 2811134211229
BaseRepresentation
bin10001101000111111…
…010110111100000000
31210220001102011202211
4101220333112330000
5302242433334142
612411305551504
71240245316156
oct215077267400
953801364684
1018941308672
11803a969610
1238074a5594
131a2b25b370
14cb985b3d6
1575cd44917
hex468fd6f00

18941308672 has 144 divisors (see below), whose sum is σ = 44560262880. Its totient is φ = 7922073600.

The previous prime is 18941308663. The next prime is 18941308681. The reversal of 18941308672 is 27680314981.

It is an interprime number because it is at equal distance from previous prime (18941308663) and next prime (18941308681).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15411354 + ... + 15412582.

It is an arithmetic number, because the mean of its divisors is an integer number (309446270).

Almost surely, 218941308672 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 18941308672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22280131440).

18941308672 is an abundant number, since it is smaller than the sum of its proper divisors (25618954208).

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

18941308672 is a wasteful number, since it uses less digits than its factorization.

18941308672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1690 (or 1676 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 49.

The spelling of 18941308672 in words is "eighteen billion, nine hundred forty-one million, three hundred eight thousand, six hundred seventy-two".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 128 143 176 208 256 286 352 416 421 572 704 832 842 1144 1229 1408 1664 1684 2288 2458 2816 3328 3368 4576 4631 4916 5473 6736 9152 9262 9832 10946 13472 13519 15977 18304 18524 19664 21892 26944 27038 31954 36608 37048 39328 43784 53888 54076 60203 63908 74096 78656 87568 107776 108152 120406 127816 148192 157312 175136 175747 216304 240812 255632 296384 314624 350272 351494 432608 481624 511264 517409 592768 700544 702988 865216 963248 1022528 1034818 1185536 1401088 1405976 1730432 1926496 2045056 2069636 2811952 3460864 3852992 4090112 4139272 5623904 5691499 6726317 7705984 8278544 11247808 11382998 13452634 15411968 16557088 22495616 22765996 26905268 33114176 44991232 45531992 53810536 66228352 73989487 91063984 107621072 132456704 147978974 182127968 215242144 295957948 364255936 430484288 591915896 728511872 860968576 1183831792 1457023744 1721937152 2367663584 4735327168 9470654336 18941308672