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102016766465 = 5149269509053
BaseRepresentation
bin101111100000010101…
…1000101001000000001
3100202022201112200201222
41133000223011020001
53132412243011330
6114511005204425
710241033131055
oct1370053051001
9322281480658
10102016766465
113a2a0894649
1217931260715
13980a5a7493
144d1ac41c65
1529c13100e5
hex17c0ac5201

102016766465 has 16 divisors (see below), whose sum is σ = 123700122000. Its totient is φ = 80764154112.

The previous prime is 102016766461. The next prime is 102016766473. The reversal of 102016766465 is 564667610201.

It can be written as a sum of positive squares in 8 ways, for example, as 66502610161 + 35514156304 = 257881^2 + 188452^2 .

It is a cyclic number.

It is not a de Polignac number, because 102016766465 - 22 = 102016766461 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102016766461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54122 + ... + 454931.

It is an arithmetic number, because the mean of its divisors is an integer number (7731257625).

Almost surely, 2102016766465 is an apocalyptic number.

It is an amenable number.

102016766465 is a deficient number, since it is larger than the sum of its proper divisors (21683355535).

102016766465 is a wasteful number, since it uses less digits than its factorization.

102016766465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509476.

The product of its (nonzero) digits is 362880, while the sum is 44.

The spelling of 102016766465 in words is "one hundred two billion, sixteen million, seven hundred sixty-six thousand, four hundred sixty-five".

Divisors: 1 5 149 269 745 1345 40081 200405 509053 2545265 75848897 136935257 379244485 684676285 20403353293 102016766465