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130822452756 = 22334992427493
BaseRepresentation
bin111100111010110100…
…0000011011000010100
3110111200020112011201000
41321311220003120110
54120411021442011
6140033215103300
712310621333542
oct1716550033024
9414606464630
10130822452756
1150532956056
1221430211b30
13c44b3b9378
1464907dad92
15360a173356
hex1e75a03614

130822452756 has 48 divisors (see below), whose sum is σ = 339849160000. Its totient is φ = 43520076576.

The previous prime is 130822452743. The next prime is 130822452757. The reversal of 130822452756 is 657254228031.

130822452756 is a `hidden beast` number, since 1 + 308 + 224 + 52 + 75 + 6 = 666.

It is a super-2 number, since 2×1308224527562 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130822452757) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1159855 + ... + 1267638.

Almost surely, 2130822452756 is an apocalyptic number.

It is an amenable number.

130822452756 is an abundant number, since it is smaller than the sum of its proper divisors (209026707244).

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

130822452756 is a wasteful number, since it uses less digits than its factorization.

130822452756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2428005 (or 2427997 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 130822452756 in words is "one hundred thirty billion, eight hundred twenty-two million, four hundred fifty-two thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 499 998 1497 1996 2994 4491 5988 8982 13473 17964 26946 53892 2427493 4854986 7282479 9709972 14564958 21847437 29129916 43694874 65542311 87389748 131084622 262169244 1211319007 2422638014 3633957021 4845276028 7267914042 10901871063 14535828084 21803742126 32705613189 43607484252 65411226378 130822452756