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95138267401 = 7315123773631
BaseRepresentation
bin101100010011010101…
…1101100000100001001
3100002120100102201220101
41120212223230010021
53024320344024101
6111412251125401
76605420633662
oct1304653540411
9302510381811
1095138267401
1137391087481
1216531743861
138c825026a8
1448674b2369
15271c4e6401
hex1626aec109

95138267401 has 16 divisors (see below), whose sum is σ = 97147806208. Its totient is φ = 93148704000.

The previous prime is 95138267383. The next prime is 95138267423. The reversal of 95138267401 is 10476283159.

It is a 4-Lehmer number, since φ(95138267401) divides (95138267401-1)4.

It is a cyclic number.

It is not a de Polignac number, because 95138267401 - 29 = 95138266889 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (95138867401) 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, 26199856 + ... + 26203486.

It is an arithmetic number, because the mean of its divisors is an integer number (6071737888).

It is a 2-persistent number, because it is pandigital, and so is 2⋅95138267401 = 190276534802, but 3⋅95138267401 = 285414802203 is not.

Almost surely, 295138267401 is an apocalyptic number.

It is an amenable number.

95138267401 is a deficient number, since it is larger than the sum of its proper divisors (2009538807).

95138267401 is a wasteful number, since it uses less digits than its factorization.

95138267401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6232.

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 95138267401 in words is "ninety-five billion, one hundred thirty-eight million, two hundred sixty-seven thousand, four hundred one".

Divisors: 1 73 151 2377 3631 11023 173521 265063 358927 548281 8630887 26201671 40024513 630054751 1303263937 95138267401