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32796123409 = 724126312
BaseRepresentation
bin11110100010110011…
…010010000100010001
310010122121200200121101
4132202303102010101
51014131301422114
623022154424401
72240501310100
oct364263220421
9103577620541
1032796123409
11129aa613a25
126433432101
1331287659aa
141831940037
15cbe349d74
hex7a2cd2111

32796123409 has 27 divisors (see below), whose sum is σ = 39165859323. Its totient is φ = 27381866400.

The previous prime is 32796123379. The next prime is 32796123431. The reversal of 32796123409 is 90432169723.

The square root of 32796123409 is 181097.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1580301009 + 31215822400 = 39753^2 + 176680^2 .

It is not a de Polignac number, because 32796123409 - 25 = 32796123377 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (32796123469) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 51974524 + ... + 51975154.

Almost surely, 232796123409 is an apocalyptic number.

32796123409 is the 181097-th square number.

32796123409 is the 90549-th centered octagonal number.

It is an amenable number.

32796123409 is a deficient number, since it is larger than the sum of its proper divisors (6369735914).

32796123409 is an frugal number, since it uses more digits than its factorization.

32796123409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 46.

The spelling of 32796123409 in words is "thirty-two billion, seven hundred ninety-six million, one hundred twenty-three thousand, four hundred nine".

Divisors: 1 7 41 49 287 631 1681 2009 4417 11767 25871 30919 82369 181097 398161 1060711 1267679 2787127 7424977 16324601 19509889 51974839 114272207 669308641 799905449 4685160487 32796123409