Search a number
-
+
32152155012 = 22331739744111
BaseRepresentation
bin11101111100011010…
…101111001110000100
310001222201221201001000
4131330122233032010
51011321422430022
622434232133300
72215521544155
oct357432571604
9101881851030
1032152155012
11126aa064a3a
126293837230
1330552141c3
1417b01cd92c
15c82a446ac
hex77c6af384

32152155012 has 96 divisors (see below), whose sum is σ = 88485143040. Its totient is φ = 10061314560.

The previous prime is 32152154999. The next prime is 32152155017. The reversal of 32152155012 is 21055125123.

32152155012 is a `hidden beast` number, since 3 + 2 + 152 + 1 + 5 + 501 + 2 = 666.

It is a super-2 number, since 2×321521550122 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (32152155017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 706837 + ... + 750947.

It is an arithmetic number, because the mean of its divisors is an integer number (921720240).

Almost surely, 232152155012 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 32152155012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44242571520).

32152155012 is an abundant number, since it is smaller than the sum of its proper divisors (56332988028).

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

32152155012 is a wasteful number, since it uses less digits than its factorization.

32152155012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44538 (or 44530 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The spelling of 32152155012 in words is "thirty-two billion, one hundred fifty-two million, one hundred fifty-five thousand, twelve".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 397 459 612 794 918 1191 1588 1836 2382 3573 4764 6749 7146 10719 13498 14292 20247 21438 26996 40494 42876 44111 60741 80988 88222 121482 132333 176444 182223 242964 264666 364446 396999 529332 728892 749887 793998 1190997 1499774 1587996 2249661 2381994 2999548 4499322 4763988 6748983 8998644 13497966 17512067 20246949 26995932 35024134 40493898 52536201 70048268 80987796 105072402 157608603 210144804 297705139 315217206 472825809 595410278 630434412 893115417 945651618 1190820556 1786230834 1891303236 2679346251 3572461668 5358692502 8038038753 10717385004 16076077506 32152155012