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32826000131 = 232979622967
BaseRepresentation
bin11110100100100101…
…010000001100000011
310010201200220120202122
4132210211100030003
51014211424001011
623025143034455
72241313253201
oct364445201403
9103650816678
1032826000131
1112a1546a831
12644143ba2b
1331319c6822
1418358ba071
15cc1c9c3db
hex7a4950303

32826000131 has 16 divisors (see below), whose sum is σ = 35882956800. Its totient is φ = 29932270368.

The previous prime is 32826000049. The next prime is 32826000133. The reversal of 32826000131 is 13100062823.

It is a cyclic number.

It is not a de Polignac number, because 32826000131 - 214 = 32825983747 is a prime.

It is a super-2 number, since 2×328260001312 (a number of 22 digits) contains 22 as substring.

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 32826000131.

It is not an unprimeable number, because it can be changed into a prime (32826000133) 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, 258791 + ... + 364176.

It is an arithmetic number, because the mean of its divisors is an integer number (2242684800).

Almost surely, 232826000131 is an apocalyptic number.

32826000131 is the 96845-th centered heptagonal number.

32826000131 is a deficient number, since it is larger than the sum of its proper divisors (3056956669).

32826000131 is a wasteful number, since it uses less digits than its factorization.

32826000131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623098.

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 32826000131 its reverse (13100062823), we get a palindrome (45926062954).

The spelling of 32826000131 in words is "thirty-two billion, eight hundred twenty-six million, one hundred thirty-one", and thus it is an aban number.

Divisors: 1 23 29 79 667 1817 2291 52693 622967 14328241 18066043 49214393 415518989 1131931039 1427217397 32826000131