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105715716717 = 3132710659403
BaseRepresentation
bin110001001110100100…
…1011101001001101101
3101002212111202211120110
41202131021131021231
53213001210413332
6120322022410233
710431506523432
oct1423511351155
9332774684513
10105715716717
1140919847726
12185a3b90979
139c79a21340
14518c1cbb89
152b3ae1a4cc
hex189d25d26d

105715716717 has 8 divisors (see below), whose sum is σ = 151796926624. Its totient is φ = 65055825648.

The previous prime is 105715716713. The next prime is 105715716737. The reversal of 105715716717 is 717617517501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105715716717 - 22 = 105715716713 is a prime.

It is a super-2 number, since 2×1057157167172 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105715716713) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1355329663 + ... + 1355329740.

It is an arithmetic number, because the mean of its divisors is an integer number (18974615828).

Almost surely, 2105715716717 is an apocalyptic number.

It is an amenable number.

105715716717 is a deficient number, since it is larger than the sum of its proper divisors (46081209907).

105715716717 is a wasteful number, since it uses less digits than its factorization.

105715716717 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2710659419.

The product of its (nonzero) digits is 360150, while the sum is 48.

The spelling of 105715716717 in words is "one hundred five billion, seven hundred fifteen million, seven hundred sixteen thousand, seven hundred seventeen".

Divisors: 1 3 13 39 2710659403 8131978209 35238572239 105715716717