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90288482116872 = 23313919383382153
BaseRepresentation
bin10100100001110111101100…
…111001110110010100001000
3102211200111100120002012212110
4110201313230321312110020
543313241302410214442
6520005542302342320
725006061520146154
oct2441675471662410
9384614316065773
1090288482116872
1126850148380386
12a162619b8a9a0
133b4c223817b80
141841db3266064
15a68925c9e69c
hex521dece76508

90288482116872 has 128 divisors (see below), whose sum is σ = 243415335340800. Its totient is φ = 27743264059392.

The previous prime is 90288482116867. The next prime is 90288482116901. The reversal of 90288482116872 is 27861128488209.

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, 1098987348 + ... + 1099069500.

It is an arithmetic number, because the mean of its divisors is an integer number (1901682307350).

Almost surely, 290288482116872 is an apocalyptic number.

It is an amenable number.

90288482116872 is an abundant number, since it is smaller than the sum of its proper divisors (153126853223928).

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

90288482116872 is a wasteful number, since it uses less digits than its factorization.

90288482116872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86927 (or 86923 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 66.

The spelling of 90288482116872 in words is "ninety trillion, two hundred eighty-eight billion, four hundred eighty-two million, one hundred sixteen thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 919 1838 2757 3676 3833 5514 7352 7666 11028 11499 11947 15332 22056 22998 23894 30664 35841 45996 47788 49829 71682 82153 91992 95576 99658 143364 149487 164306 199316 246459 286728 298974 328612 398632 492918 597948 657224 985836 1067989 1195896 1971672 2135978 3203967 3522527 4271956 6407934 7045054 8543912 10567581 12815868 14090108 21135162 25631736 28180216 42270324 45792851 75498607 84540648 91585702 137378553 150997214 183171404 226495821 274757106 301994428 314892449 366342808 452991642 549514212 603988856 629784898 905983284 944677347 981481891 1099028424 1259569796 1811966568 1889354694 1962963782 2519139592 2944445673 3778709388 3925927564 4093601837 5888891346 7557418776 7851855128 8187203674 11777782692 12280805511 16374407348 23555565384 24561611022 32748814696 49123222044 98246444088 289386160631 578772321262 868158481893 1157544642524 1736316963786 2315089285048 3472633927572 3762020088203 6945267855144 7524040176406 11286060264609 15048080352812 22572120529218 30096160705624 45144241058436 90288482116872