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90688973984 = 257795124829
BaseRepresentation
bin101010001110101111…
…0111110110010100000
322200002021022012202022
41110131132332302200
52441212334131414
6105354551241012
76360233363030
oct1243536766240
9280067265668
1090688973984
113550861a484
12156ab679168
1387237a0aab
1445646058c0
15255bac218e
hex151d7beca0

90688973984 has 48 divisors (see below), whose sum is σ = 206633145600. Its totient is φ = 38374712064.

The previous prime is 90688973983. The next prime is 90688974053. The reversal of 90688973984 is 48937988609.

It is not an unprimeable number, because it can be changed into a prime (90688973983) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2544719 + ... + 2580110.

It is an arithmetic number, because the mean of its divisors is an integer number (4304857200).

Almost surely, 290688973984 is an apocalyptic number.

It is an amenable number.

90688973984 is an abundant number, since it is smaller than the sum of its proper divisors (115944171616).

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

90688973984 is a wasteful number, since it uses less digits than its factorization.

90688973984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5124925 (or 5124917 counting only the distinct ones).

The product of its (nonzero) digits is 188116992, while the sum is 71.

The spelling of 90688973984 in words is "ninety billion, six hundred eighty-eight million, nine hundred seventy-three thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 79 112 158 224 316 553 632 1106 1264 2212 2528 4424 8848 17696 5124829 10249658 20499316 35873803 40998632 71747606 81997264 143495212 163994528 286990424 404861491 573980848 809722982 1147961696 1619445964 2834030437 3238891928 5668060874 6477783856 11336121748 12955567712 22672243496 45344486992 90688973984