Search a number
-
+
32501010152 = 23132921812053
BaseRepresentation
bin11110010001001101…
…100000111011101000
310002220001101101022202
4132101031200323220
51013030224311102
622533013235332
72230256012432
oct362115407350
9102801341282
1032501010152
1112868a77a76
126370632b48
1330ac589270
14180467d652
15ca34a3e02
hex791360ee8

32501010152 has 96 divisors (see below), whose sum is σ = 68376879480. Its totient is φ = 14396175360.

The previous prime is 32501010127. The next prime is 32501010209. The reversal of 32501010152 is 25101010523.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 393387556 + 32107622596 = 19834^2 + 179186^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15829958 + ... + 15832010.

Almost surely, 232501010152 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 32501010152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34188439740).

32501010152 is an abundant number, since it is smaller than the sum of its proper divisors (35875869328).

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

32501010152 is a wasteful number, since it uses less digits than its factorization.

32501010152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2311 (or 2278 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

Adding to 32501010152 its reverse (25101010523), we get a palindrome (57602020675).

The spelling of 32501010152 in words is "thirty-two billion, five hundred one million, ten thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 26 29 52 58 104 116 181 232 362 377 724 754 841 1448 1508 1682 2053 2353 3016 3364 4106 4706 5249 6728 8212 9412 10498 10933 16424 18824 20996 21866 26689 41992 43732 53378 59537 68237 87464 106756 119074 136474 152221 213512 238148 272948 304442 371593 476296 545896 608884 743186 773981 1217768 1486372 1547962 1726573 1978873 2972744 3095924 3453146 3957746 4830709 6191848 6906292 7915492 9661418 10776197 13812584 15830984 19322836 21552394 22445449 38645672 43104788 44890898 86209576 89781796 140090561 179563592 280181122 312509713 560362244 625019426 1120724488 1250038852 2500077704 4062626269 8125252538 16250505076 32501010152