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7161020893465 = 5171014012080129
BaseRepresentation
bin110100000110100111000…
…0110110100100100011001
3221100120211212011212221021
41220031032012310210121
51414311232322042330
623121421054042441
71336236526164205
oct150151606644431
927316755155837
107161020893465
112310a7667490a
12977a2b4a9421
133cc38723940a
141aa849575b05
15c641bae867a
hex6834e1b4919

7161020893465 has 32 divisors (see below), whose sum is σ = 9211714256160. Its totient is φ = 5325127680000.

The previous prime is 7161020893427. The next prime is 7161020893489. The reversal of 7161020893465 is 5643980201617.

It can be written as a sum of positive squares in 16 ways, for example, as 10702109401 + 7150318784064 = 103451^2 + 2674008^2 .

It is not a de Polignac number, because 7161020893465 - 27 = 7161020893337 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2402521 + ... + 4482649.

It is an arithmetic number, because the mean of its divisors is an integer number (287866070505).

It is a 1-persistent number, because it is pandigital, but 2⋅7161020893465 = 14322041786930 is not.

Almost surely, 27161020893465 is an apocalyptic number.

It is an amenable number.

7161020893465 is a deficient number, since it is larger than the sum of its proper divisors (2050693362695).

7161020893465 is a wasteful number, since it uses less digits than its factorization.

7161020893465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2080653.

The product of its (nonzero) digits is 2177280, while the sum is 52.

The spelling of 7161020893465 in words is "seven trillion, one hundred sixty-one billion, twenty million, eight hundred ninety-three thousand, four hundred sixty-five".

Divisors: 1 5 17 85 101 401 505 1717 2005 6817 8585 34085 40501 202505 688517 2080129 3442585 10400645 35362193 176810965 210093029 834131729 1050465145 3571581493 4170658645 14180239393 17857907465 70901196965 84247304629 421236523145 1432204178693 7161020893465