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52607619070384 = 24719107929248701
BaseRepresentation
bin10111111011000101010100…
…11100100111100110110000
320220021020110102111001022011
423331202222130213212300
523343410400440223014
6303515335003452304
714036526562000330
oct1375425234474660
9226236412431264
1052607619070384
111584284753a854
125a97861227094
132347b53262601
14cdc3181a70c0
156136a180c7c4
hex2fd8aa7279b0

52607619070384 has 160 divisors (see below), whose sum is σ = 123898959244800. Its totient is φ = 21137001062400.

The previous prime is 52607619070367. The next prime is 52607619070399. The reversal of 52607619070384 is 48307091670625.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 211405234 + ... + 211653934.

It is an arithmetic number, because the mean of its divisors is an integer number (774368495280).

It is a 1-persistent number, because it is pandigital, but 2⋅52607619070384 = 105215238140768 is not.

Almost surely, 252607619070384 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 52607619070384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61949479622400).

52607619070384 is an abundant number, since it is smaller than the sum of its proper divisors (71291340174416).

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

52607619070384 is a wasteful number, since it uses less digits than its factorization.

52607619070384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249771 (or 249765 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 58.

The spelling of 52607619070384 in words is "fifty-two trillion, six hundred seven billion, six hundred nineteen million, seventy thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 107 112 133 152 214 266 304 428 532 749 856 929 1064 1498 1712 1858 2033 2128 2996 3716 4066 5992 6503 7432 8132 11984 13006 14231 14864 16264 17651 26012 28462 32528 35302 52024 56924 70604 99403 104048 113848 123557 141208 198806 227696 247114 248701 282416 397612 494228 497402 695821 795224 988456 994804 1391642 1590448 1740907 1888657 1976912 1989608 2783284 3481814 3777314 3979216 4725319 5566568 6963628 7554628 9450638 11133136 13220599 13927256 15109256 18901276 26441198 26611007 27854512 30218512 33077233 37802552 52882396 53222014 66154466 75605104 105764792 106444028 132308932 186277049 211529584 212888056 231043229 264617864 372554098 425776112 462086458 505609133 529235728 745108196 924172916 1011218266 1490216392 1617302603 1848345832 2022436532 2980432784 3234605206 3539263931 3696691664 4044873064 4389821351 6469210412 7078527862 8089746128 8779642702 12938420824 14157055724 17559285404 24721625503 25876841648 28314111448 30728749457 35118570808 49443251006 56628222896 61457498914 70237141616 98886502012 122914997828 173051378521 197773004024 245829995656 346102757042 395546008048 469710884557 491659991312 692205514084 939421769114 1384411028168 1878843538228 2768822056336 3287976191899 3757687076456 6575952383798 7515374152912 13151904767596 26303809535192 52607619070384