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10042175164 = 2271787200699
BaseRepresentation
bin10010101101000111…
…10110111010111100
3221220212010100120111
421112203312322330
5131031244101124
64340250355404
7503566036420
oct112643667274
927825110514
1010042175164
11429360091a
121b4312bb64
13c406660a8
146b39c0b80
153db93e494
hex2568f6ebc

10042175164 has 24 divisors (see below), whose sum is σ = 20095689600. Its totient is φ = 4301359536.

The previous prime is 10042175149. The next prime is 10042175197. The reversal of 10042175164 is 46157124001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50314 + ... + 150385.

It is an arithmetic number, because the mean of its divisors is an integer number (837320400).

Almost surely, 210042175164 is an apocalyptic number.

10042175164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10042175164 is an abundant number, since it is smaller than the sum of its proper divisors (10053514436).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10042175164 is a wasteful number, since it uses less digits than its factorization.

10042175164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202497 (or 202495 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

Adding to 10042175164 its reverse (46157124001), we get a palindrome (56199299165).

The spelling of 10042175164 in words is "ten billion, forty-two million, one hundred seventy-five thousand, one hundred sixty-four".

Divisors: 1 2 4 7 14 28 1787 3574 7148 12509 25018 50036 200699 401398 802796 1404893 2809786 5619572 358649113 717298226 1434596452 2510543791 5021087582 10042175164