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131126182992 = 2433743361833
BaseRepresentation
bin111101000011110111…
…0101100010001010000
3110112110102001021021000
41322013232230101100
54122021300323432
6140123305102000
712321300110460
oct1720756542120
9415412037230
10131126182992
1150679348082
12214b5a87900
13c4992c1cbc
1464bcca1ba0
153626b6c57c
hex1e87bac450

131126182992 has 80 divisors (see below), whose sum is σ = 430149393280. Its totient is φ = 37464622848.

The previous prime is 131126182973. The next prime is 131126182997. The reversal of 131126182992 is 299281621131.

131126182992 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 2 + 618 + 29 + 9 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131126182997) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21677893 + ... + 21683940.

It is an arithmetic number, because the mean of its divisors is an integer number (5376867416).

Almost surely, 2131126182992 is an apocalyptic number.

131126182992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131126182992 is an abundant number, since it is smaller than the sum of its proper divisors (299023210288).

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

131126182992 is a wasteful number, since it uses less digits than its factorization.

131126182992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43361857 (or 43361845 counting only the distinct ones).

The product of its digits is 93312, while the sum is 45.

The spelling of 131126182992 in words is "one hundred thirty-one billion, one hundred twenty-six million, one hundred eighty-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 43361833 86723666 130085499 173447332 260170998 303532831 346894664 390256497 520341996 607065662 693789328 780512994 910598493 1040683992 1170769491 1214131324 1561025988 1821196986 2081367984 2341538982 2428262648 2731795479 3122051976 3642393972 4683077964 4856525296 5463590958 6244103952 7284787944 8195386437 9366155928 10927181916 14569575888 16390772874 18732311856 21854363832 32781545748 43708727664 65563091496 131126182992