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131457926016 = 2732114112783
BaseRepresentation
bin111101001101110000…
…0001100001110000000
3110120022112021120010200
41322123200030032000
54123211212113031
6140220235325200
712332435635344
oct1723340141600
9416275246120
10131457926016
115082963256a
1221588bb0800
13c51cc55251
146510d79624
153645d4b8e6
hex1e9b80c380

131457926016 has 48 divisors (see below), whose sum is σ = 378283878960. Its totient is φ = 43819308288.

The previous prime is 131457925997. The next prime is 131457926027. The reversal of 131457926016 is 610629754131.

131457926016 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 579 + 2 + 60 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 57055240 + ... + 57057543.

It is an arithmetic number, because the mean of its divisors is an integer number (7880914145).

Almost surely, 2131457926016 is an apocalyptic number.

131457926016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

131457926016 is an abundant number, since it is smaller than the sum of its proper divisors (246825952944).

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

131457926016 is a wasteful number, since it uses less digits than its factorization.

131457926016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114112803 (or 114112788 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 131457926016 in words is "one hundred thirty-one billion, four hundred fifty-seven million, nine hundred twenty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 114112783 228225566 342338349 456451132 684676698 912902264 1027015047 1369353396 1825804528 2054030094 2738706792 3651609056 4108060188 5477413584 7303218112 8216120376 10954827168 14606436224 16432240752 21909654336 32864481504 43819308672 65728963008 131457926016