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137426311145360 = 2452374688212579
BaseRepresentation
bin11111001111110100001110…
…011101010110011110010000
3200000120211022220121022021002
4133033310032131112132100
5121003043041123122420
61204140435322521132
740642503050004416
oct3717641635263620
9600524286538232
10137426311145360
113a874197a438a6
12134b61816661a8
135b8b3265932c3
1425d167cb232b6
1510d4b91506075
hex7cfd0e756790

137426311145360 has 40 divisors (see below), whose sum is σ = 333408180957120. Its totient is φ = 52580501654912.

The previous prime is 137426311145359. The next prime is 137426311145369. The reversal of 137426311145360 is 63541113624731.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (137426311145369) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37344104450 + ... + 37344108129.

It is an arithmetic number, because the mean of its divisors is an integer number (8335204523928).

Almost surely, 2137426311145360 is an apocalyptic number.

137426311145360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137426311145360 is an abundant number, since it is smaller than the sum of its proper divisors (195981869811760).

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

137426311145360 is a wasteful number, since it uses less digits than its factorization.

137426311145360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74688212615 (or 74688212609 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 47.

The spelling of 137426311145360 in words is "one hundred thirty-seven trillion, four hundred twenty-six billion, three hundred eleven million, one hundred forty-five thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 920 1840 74688212579 149376425158 298752850316 373441062895 597505700632 746882125790 1195011401264 1493764251580 1717828889317 2987528503160 3435657778634 5975057006320 6871315557268 8589144446585 13742631114536 17178288893170 27485262229072 34356577786340 68713155572680 137426311145360