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32135420232 = 23322334955603
BaseRepresentation
bin11101111011011010…
…111001100101001000
310001221120110111020100
4131323122321211020
51011303131421412
622432433325400
72215226364546
oct357332714510
9101846414210
1032135420232
11126a0674943
12628a106860
133051905076
1417abcb4d96
15c8133aedc
hex77b6b9948

32135420232 has 96 divisors (see below), whose sum is σ = 91079352000. Its totient is φ = 10216533888.

The previous prime is 32135420203. The next prime is 32135420243. The reversal of 32135420232 is 23202453123.

32135420232 is a `hidden beast` number, since 3 + 2 + 1 + 3 + 5 + 420 + 232 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 32135420196 and 32135420205.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 550143 + ... + 605745.

It is an arithmetic number, because the mean of its divisors is an integer number (948743250).

Almost surely, 232135420232 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 32135420232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45539676000).

32135420232 is an abundant number, since it is smaller than the sum of its proper divisors (58943931768).

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

32135420232 is a wasteful number, since it uses less digits than its factorization.

32135420232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55987 (or 55980 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 32135420232 its reverse (23202453123), we get a palindrome (55337873355).

The spelling of 32135420232 in words is "thirty-two billion, one hundred thirty-five million, four hundred twenty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 349 414 552 698 828 1047 1396 1656 2094 2792 3141 4188 6282 8027 8376 12564 16054 24081 25128 32108 48162 55603 64216 72243 96324 111206 144486 166809 192648 222412 288972 333618 444824 500427 577944 667236 1000854 1278869 1334472 2001708 2557738 3836607 4003416 5115476 7673214 10230952 11509821 15346428 19405447 23019642 30692856 38810894 46039284 58216341 77621788 92078568 116432682 155243576 174649023 232865364 349298046 446325281 465730728 698596092 892650562 1338975843 1397192184 1785301124 2677951686 3570602248 4016927529 5355903372 8033855058 10711806744 16067710116 32135420232