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102268334816316 = 22336115523426657
BaseRepresentation
bin10111010000001100110011…
…110001001011110000111100
3111102002202110002110102001000
4113100030303301023300330
5101401031022203110231
61001301231402050300
730353433450020124
oct2720146361136074
9442082402412030
10102268334816316
112a649836968069
12b5783564a9990
13450ab2a167826
141b37b57177c84
15bc537a0596e6
hex5d0333c4bc3c

102268334816316 has 48 divisors (see below), whose sum is σ = 269486686782880. Its totient is φ = 33530601576960.

The previous prime is 102268334816299. The next prime is 102268334816339. The reversal of 102268334816316 is 613618433862201.

102268334816316 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 68 + 33 + 481 + 63 + 16 = 666.

It is a super-2 number, since 2×1022683348163162 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 7761706741 + ... + 7761719916.

Almost surely, 2102268334816316 is an apocalyptic number.

It is an amenable number.

102268334816316 is an abundant number, since it is smaller than the sum of its proper divisors (167218351966564).

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

102268334816316 is a wasteful number, since it uses less digits than its factorization.

102268334816316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15523426731 (or 15523426723 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 102268334816316 in words is "one hundred two trillion, two hundred sixty-eight billion, three hundred thirty-four million, eight hundred sixteen thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 108 122 183 244 366 549 732 1098 1647 2196 3294 6588 15523426657 31046853314 46570279971 62093706628 93140559942 139710839913 186281119884 279421679826 419132519739 558843359652 838265039478 946929026077 1676530078956 1893858052154 2840787078231 3787716104308 5681574156462 8522361234693 11363148312924 17044722469386 25567083704079 34089444938772 51134167408158 102268334816316