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117637138752 = 2637313279641
BaseRepresentation
bin110110110001110111…
…0000100100101000000
3102020122100000211012220
41231203232010211000
53411410101420002
6130013004051040
711333105116050
oct1554356044500
9366570024186
10117637138752
1145987109531
121a970533a80
13b129802b13
14599d5d3560
1530d78187bc
hex1b63b84940

117637138752 has 112 divisors (see below), whose sum is σ = 356850037632. Its totient is φ = 33503109120.

The previous prime is 117637138727. The next prime is 117637138771. The reversal of 117637138752 is 257831736711.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 117637138695 and 117637138704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 280852 + ... + 560492.

Almost surely, 2117637138752 is an apocalyptic number.

117637138752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117637138752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178425018816).

117637138752 is an abundant number, since it is smaller than the sum of its proper divisors (239212898880).

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

117637138752 is a wasteful number, since it uses less digits than its factorization.

117637138752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279976 (or 279966 counting only the distinct ones).

The product of its digits is 1481760, while the sum is 51.

The spelling of 117637138752 in words is "one hundred seventeen billion, six hundred thirty-seven million, one hundred thirty-eight thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 313 336 448 626 672 939 1252 1344 1878 2191 2504 3756 4382 5008 6573 7512 8764 10016 13146 15024 17528 20032 26292 30048 35056 52584 60096 70112 105168 140224 210336 279641 420672 559282 838923 1118564 1677846 1957487 2237128 3355692 3914974 4474256 5872461 6711384 7829948 8948512 11744922 13422768 15659896 17897024 23489844 26845536 31319792 46979688 53691072 62639584 87527633 93959376 125279168 175055266 187918752 262582899 350110532 375837504 525165798 612693431 700221064 1050331596 1225386862 1400442128 1838080293 2100663192 2450773724 2800884256 3676160586 4201326384 4901547448 5601768512 7352321172 8402652768 9803094896 14704642344 16805305536 19606189792 29409284688 39212379584 58818569376 117637138752