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117097950144 = 2637139626809
BaseRepresentation
bin110110100001110010…
…1001110101111000000
3102012020202110012111110
41231003211032233000
53404304033401034
6125443303243320
711313540103440
oct1550345165700
9365222405443
10117097950144
114572a81610a
121a83ba49540
13b071ba95c6
14594bb5a120
1530a530dde9
hex1b4394ebc0

117097950144 has 112 divisors (see below), whose sum is σ = 356629817600. Its totient is φ = 33215809536.

The previous prime is 117097950127. The next prime is 117097950169. The reversal of 117097950144 is 441059790711.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 117097950093 and 117097950102.

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, 126589 + ... + 500220.

It is an arithmetic number, because the mean of its divisors is an integer number (3184194800).

Almost surely, 2117097950144 is an apocalyptic number.

117097950144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

117097950144 is an abundant number, since it is smaller than the sum of its proper divisors (239531867456).

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

117097950144 is a wasteful number, since it uses less digits than its factorization.

117097950144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626970 (or 626960 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 48.

The spelling of 117097950144 in words is "one hundred seventeen billion, ninety-seven million, nine hundred fifty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 139 168 192 224 278 336 417 448 556 672 834 973 1112 1344 1668 1946 2224 2919 3336 3892 4448 5838 6672 7784 8896 11676 13344 15568 23352 26688 31136 46704 62272 93408 186816 626809 1253618 1880427 2507236 3760854 4387663 5014472 7521708 8775326 10028944 13162989 15043416 17550652 20057888 26325978 30086832 35101304 40115776 52651956 60173664 70202608 87126451 105303912 120347328 140405216 174252902 210607824 261379353 280810432 348505804 421215648 522758706 609885157 697011608 842431296 1045517412 1219770314 1394023216 1829655471 2091034824 2439540628 2788046432 3659310942 4182069648 4879081256 5576092864 7318621884 8364139296 9758162512 14637243768 16728278592 19516325024 29274487536 39032650048 58548975072 117097950144