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90810004752 = 24323197209719
BaseRepresentation
bin101010010010010110…
…0101011010100010000
322200101201001012202100
41110210230223110100
52441434330123002
6105414553320400
76363233206305
oct1244454532420
9280351035670
1090810004752
113556a975705
1215724106100
138742898c2c
14457670d0ac
15256752d11c
hex1524b2b510

90810004752 has 120 divisors (see below), whose sum is σ = 265045813760. Its totient is φ = 28991416320.

The previous prime is 90810004751. The next prime is 90810004763. The reversal of 90810004752 is 25740001809.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (90810004751) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 328149 + ... + 537867.

Almost surely, 290810004752 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 90810004752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132522906880).

90810004752 is an abundant number, since it is smaller than the sum of its proper divisors (174235809008).

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

90810004752 is a wasteful number, since it uses less digits than its factorization.

90810004752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209861 (or 209852 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 90810004752 in words is "ninety billion, eight hundred ten million, four thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 97 124 144 186 194 248 279 291 372 388 496 558 582 744 776 873 1116 1164 1488 1552 1746 2232 2328 3007 3492 4464 4656 6014 6984 9021 12028 13968 18042 24056 27063 36084 48112 54126 72168 108252 144336 209719 216504 419438 433008 629157 838876 1258314 1677752 1887471 2516628 3355504 3774942 5033256 6501289 7549884 10066512 13002578 15099768 19503867 20342743 26005156 30199536 39007734 40685486 52010312 58511601 61028229 78015468 81370972 104020624 117023202 122056458 156030936 162741944 183084687 234046404 244112916 312061872 325483888 366169374 468092808 488225832 630625033 732338748 936185616 976451664 1261250066 1464677496 1891875099 2522500132 2929354992 3783750198 5045000264 5675625297 7567500396 10090000528 11351250594 15135000792 22702501188 30270001584 45405002376 90810004752