Search a number
-
+
32133231432 = 23324110885241
BaseRepresentation
bin11101111011010010…
…100011001101001000
310001221102100021202200
4131323102203031020
51011302101401212
622432314400200
72215201650321
oct357322431510
9101842307680
1032133231432
111269a40a415
126289430060
133051319a13
1417ab8a5448
15c810576dc
hex77b4a3348

32133231432 has 48 divisors (see below), whose sum is σ = 89150131980. Its totient is φ = 10449830400.

The previous prime is 32133231421. The next prime is 32133231439. The reversal of 32133231432 is 23413233123.

32133231432 is a `hidden beast` number, since 321 + 3 + 323 + 14 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 31971585636 + 161645796 = 178806^2 + 12714^2 .

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 32133231396 and 32133231405.

It is not an unprimeable number, because it can be changed into a prime (32133231439) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5439669 + ... + 5445572.

Almost surely, 232133231432 is an apocalyptic number.

It is an amenable number.

32133231432 is an abundant number, since it is smaller than the sum of its proper divisors (57016900548).

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

32133231432 is a wasteful number, since it uses less digits than its factorization.

32133231432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10885294 (or 10885287 counting only the distinct ones).

The product of its digits is 7776, while the sum is 27.

Adding to 32133231432 its reverse (23413233123), we get a palindrome (55546464555).

The spelling of 32133231432 in words is "thirty-two billion, one hundred thirty-three million, two hundred thirty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 492 738 984 1476 2952 10885241 21770482 32655723 43540964 65311446 87081928 97967169 130622892 195934338 261245784 391868676 446294881 783737352 892589762 1338884643 1785179524 2677769286 3570359048 4016653929 5355538572 8033307858 10711077144 16066615716 32133231432