Search a number
-
+
32130333936 = 243374375773
BaseRepresentation
bin11101111011000111…
…011111110011110000
310001221012220002011000
4131323013133303300
51011300331141221
622432132322000
72215135221651
oct357307376360
9101835802130
1032130333936
1112698810498
126288473300
133050843c1c
1417ab34d528
15c80b83e26
hex77b1dfcf0

32130333936 has 40 divisors (see below), whose sum is σ = 92225959760. Its totient is φ = 10710111168.

The previous prime is 32130333923. The next prime is 32130333947. The reversal of 32130333936 is 63933303123.

It is a happy number.

It is a super-3 number, since 3×321303339363 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 32130333936.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37187455 + ... + 37188318.

It is an arithmetic number, because the mean of its divisors is an integer number (2305648994).

Almost surely, 232130333936 is an apocalyptic number.

32130333936 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

32130333936 is an abundant number, since it is smaller than the sum of its proper divisors (60095625824).

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

32130333936 is a wasteful number, since it uses less digits than its factorization.

32130333936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74375790 (or 74375778 counting only the distinct ones).

The product of its (nonzero) digits is 78732, while the sum is 36.

The spelling of 32130333936 in words is "thirty-two billion, one hundred thirty million, three hundred thirty-three thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 74375773 148751546 223127319 297503092 446254638 595006184 669381957 892509276 1190012368 1338763914 1785018552 2008145871 2677527828 3570037104 4016291742 5355055656 8032583484 10710111312 16065166968 32130333936