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972972092304 = 243223293771767
BaseRepresentation
bin11100010100010011010…
…01111110101110010000
310110000102002122110021200
432022021221332232100
5111420121323423204
62022551024351200
7130203104220222
oct16121151765620
93400362573250
10972972092304
113456a94208a3
1213869a475500
137099b896454
1435140a1c412
151a498a1c539
hexe289a7eb90

972972092304 has 60 divisors (see below), whose sum is σ = 2841360540096. Its totient is φ = 310222984896.

The previous prime is 972972092297. The next prime is 972972092333. The reversal of 972972092304 is 403290279279.

972972092304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 146882572 + ... + 146889195.

Almost surely, 2972972092304 is an apocalyptic number.

It is an amenable number.

972972092304 is an abundant number, since it is smaller than the sum of its proper divisors (1868388447792).

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

972972092304 is a wasteful number, since it uses less digits than its factorization.

972972092304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293771804 (or 293771795 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 972972092304 in words is "nine hundred seventy-two billion, nine hundred seventy-two million, ninety-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 552 828 1104 1656 3312 293771767 587543534 881315301 1175087068 1762630602 2350174136 2643945903 3525261204 4700348272 5287891806 6756750641 7050522408 10575783612 13513501282 14101044816 20270251923 21151567224 27027002564 40540503846 42303134448 54054005128 60810755769 81081007692 108108010256 121621511538 162162015384 243243023076 324324030768 486486046152 972972092304