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71916466609 = 1361757711969
BaseRepresentation
bin100001011111010001…
…1100011000110110001
320212121222112000211101
41002332203203012301
52134241103412414
653012111244401
75124104610601
oct1027643430661
9225558460741
1071916466609
1128554a74879
1211b30819701
136a214c5270
1436a3368c01
151d0d9c2a74
hex10be8e31b1

71916466609 has 16 divisors (see below), whose sum is σ = 78735116880. Its totient is φ = 65282088960.

The previous prime is 71916466607. The next prime is 71916466627. The reversal of 71916466609 is 90666461917.

It can be written as a sum of positive squares in 8 ways, for example, as 56704944384 + 15211522225 = 238128^2 + 123335^2 .

It is a cyclic number.

It is not a de Polignac number, because 71916466609 - 21 = 71916466607 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 71916466609.

It is not an unprimeable number, because it can be changed into a prime (71916466603) 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, 6002577 + ... + 6014545.

It is an arithmetic number, because the mean of its divisors is an integer number (4920944805).

Almost surely, 271916466609 is an apocalyptic number.

It is an amenable number.

71916466609 is a deficient number, since it is larger than the sum of its proper divisors (6818650271).

71916466609 is a wasteful number, since it uses less digits than its factorization.

71916466609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19620.

The product of its (nonzero) digits is 2939328, while the sum is 55.

The spelling of 71916466609 in words is "seventy-one billion, nine hundred sixteen million, four hundred sixty-six thousand, six hundred nine".

Divisors: 1 13 61 793 7577 11969 98501 155597 462197 730109 6008561 9491417 90689113 1178958469 5532035893 71916466609