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32051648132 = 22721374392719
BaseRepresentation
bin11101110110011011…
…010101011010000100
310001201201211102111222
4131312123111122010
51011120210220012
622420242015512
72213161341200
oct356633253204
9101651742458
1032051648132
11126583576a9
126266047598
13303a453a8a
1417a0b09b00
15c78cde972
hex7766d5684

32051648132 has 72 divisors (see below), whose sum is σ = 65898201600. Its totient is φ = 13600089216.

The previous prime is 32051648119. The next prime is 32051648143. The reversal of 32051648132 is 23184615023.

It is a junction number, because it is equal to n+sod(n) for n = 32051648092 and 32051648101.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 11786669 + ... + 11789387.

It is an arithmetic number, because the mean of its divisors is an integer number (915252800).

Almost surely, 232051648132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32051648132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32949100800).

32051648132 is an abundant number, since it is smaller than the sum of its proper divisors (33846553468).

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

32051648132 is a wasteful number, since it uses less digits than its factorization.

32051648132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3313 (or 3304 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The spelling of 32051648132 in words is "thirty-two billion, fifty-one million, six hundred forty-eight thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 49 98 137 196 274 439 548 878 959 1756 1918 2719 3073 3836 5438 6146 6713 10876 12292 13426 19033 21511 26852 38066 43022 60143 76132 86044 120286 133231 240572 266462 372503 421001 532924 745006 842002 1193641 1490012 1684004 2387282 2607521 2947007 4774564 5215042 5894014 8355487 10430084 11788028 16710974 18252647 33421948 36505294 58488409 73010588 116976818 163528817 233953636 327057634 654115268 1144701719 2289403438 4578806876 8012912033 16025824066 32051648132