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32813323940 = 225116321213
BaseRepresentation
bin11110100011110100…
…111001011010100100
310010200211001120022002
4132203310321122210
51014200202331230
623024011224432
72241100436315
oct364364713244
9103624046262
1032813323940
1112a092a1a41
126439148118
13312c1a8b17
141833d3a60c
15cc0ae6545
hex7a3d396a4

32813323940 has 36 divisors (see below), whose sum is σ = 69024138204. Its totient is φ = 13103232576.

The previous prime is 32813323919. The next prime is 32813323943. The reversal of 32813323940 is 4932331823.

It can be written as a sum of positive squares in 2 ways, for example, as 5540122624 + 27273201316 = 74432^2 + 165146^2 .

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 32813323894 and 32813323903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32813323943) 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 11 ways as a sum of consecutive naturals, for example, 27050774 + ... + 27051986.

Almost surely, 232813323940 is an apocalyptic number.

It is an amenable number.

32813323940 is an abundant number, since it is smaller than the sum of its proper divisors (36210814264).

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

32813323940 is a wasteful number, since it uses less digits than its factorization.

32813323940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3548 (or 2383 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 38.

The spelling of 32813323940 in words is "thirty-two billion, eight hundred thirteen million, three hundred twenty-three thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 1163 1213 2326 2426 4652 4852 5815 6065 11630 12130 23260 24260 1352569 1410719 2705138 2821438 5410276 5642876 6762845 7053595 13525690 14107190 27051380 28214380 1640666197 3281332394 6562664788 8203330985 16406661970 32813323940