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972094264435 = 57179725765537
BaseRepresentation
bin11100010010101010101…
…01010101010001110011
310102221010220212011211101
432021111111111101303
5111411322112430220
62022323545425231
7130142254625260
oct16112525252163
93387126764741
10972094264435
11345298962818
1213849449b217
137088ba63a88
143509a1d4267
151a44692030a
hexe255555473

972094264435 has 64 divisors (see below), whose sum is σ = 1431702252288. Its totient is φ = 618475290624.

The previous prime is 972094264417. The next prime is 972094264507. The reversal of 972094264435 is 534462490279.

972094264435 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a 36-Lehmer number, since φ(972094264435) divides (972094264435-1)36.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-972094264435 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14799987 + ... + 14865523.

It is an arithmetic number, because the mean of its divisors is an integer number (22370347692).

Almost surely, 2972094264435 is an apocalyptic number.

972094264435 is a deficient number, since it is larger than the sum of its proper divisors (459607987853).

972094264435 is a wasteful number, since it uses less digits than its factorization.

972094264435 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65920.

The product of its (nonzero) digits is 13063680, while the sum is 55.

The spelling of 972094264435 in words is "nine hundred seventy-two billion, ninety-four million, two hundred sixty-four thousand, four hundred thirty-five".

Divisors: 1 5 7 17 35 85 97 119 257 485 595 679 1285 1649 1799 3395 4369 8245 8995 11543 21845 24929 30583 57715 65537 124645 152915 174503 327685 423793 458759 872515 1114129 2118965 2293795 2966551 5570645 6357089 7798903 14832755 16843009 31785445 38994515 44499623 84215045 108070513 117901063 222498115 286331153 540352565 589505315 756493591 1431655765 1633771873 2004318071 3782467955 8168859365 10021590355 11436403111 27774121841 57182015555 138870609205 194418852887 972094264435