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32313032032 = 2531307106103
BaseRepresentation
bin11110000110000000…
…011011110101100000
310002101221200002211011
4132012000123311200
51012134114011112
622502220230304
72222514145321
oct360600336540
9102357602734
1032313032032
1112781956256
12631969b394
13307c650bc8
1417c770a448
15c91c21aa7
hex78601bd60

32313032032 has 48 divisors (see below), whose sum is σ = 65882944512. Its totient is φ = 15584261760.

The previous prime is 32313032029. The next prime is 32313032039. The reversal of 32313032032 is 23023031323.

It is a junction number, because it is equal to n+sod(n) for n = 32313031994 and 32313032012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32313032039) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 251493 + ... + 357595.

It is an arithmetic number, because the mean of its divisors is an integer number (1372561344).

Almost surely, 232313032032 is an apocalyptic number.

32313032032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32313032032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32941472256).

32313032032 is an abundant number, since it is smaller than the sum of its proper divisors (33569912480).

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

32313032032 is a wasteful number, since it uses less digits than its factorization.

32313032032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106451 (or 106443 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 22.

Adding to 32313032032 its reverse (23023031323), we get a palindrome (55336063355).

The spelling of 32313032032 in words is "thirty-two billion, three hundred thirteen million, thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 31 32 62 124 248 307 496 614 992 1228 2456 4912 9517 9824 19034 38068 76136 106103 152272 212206 304544 424412 848824 1697648 3289193 3395296 6578386 13156772 26313544 32573621 52627088 65147242 105254176 130294484 260588968 521177936 1009782251 1042355872 2019564502 4039129004 8078258008 16156516016 32313032032