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117104533632 = 2732181156131
BaseRepresentation
bin110110100001111111…
…0010110000010000000
3102012021012211200100100
41231003332112002000
53404312230034012
6125444100322400
711313650053332
oct1550376260200
9365235750310
10117104533632
1145733502409
121a8420a3400
13b073373068
14594c991452
1530a5bae8dc
hex1b43f96080

117104533632 has 96 divisors (see below), whose sum is σ = 337172574960. Its totient is φ = 39012595200.

The previous prime is 117104533627. The next prime is 117104533639. The reversal of 117104533632 is 236335401711.

117104533632 is a `hidden beast` number, since 1 + 1 + 7 + 10 + 4 + 5 + 3 + 3 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1171045336322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (117104533639) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2058207 + ... + 2114337.

Almost surely, 2117104533632 is an apocalyptic number.

117104533632 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 117104533632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168586287480).

117104533632 is an abundant number, since it is smaller than the sum of its proper divisors (220068041328).

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

117104533632 is a wasteful number, since it uses less digits than its factorization.

117104533632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57962 (or 57947 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 117104533632 in words is "one hundred seventeen billion, one hundred four million, five hundred thirty-three thousand, six hundred thirty-two".

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 1811 3622 5433 7244 10866 14488 16299 21732 28976 32598 43464 56131 57952 65196 86928 112262 115904 130392 168393 173856 224524 231808 260784 336786 347712 449048 505179 521568 673572 695424 898096 1010358 1043136 1347144 1796192 2020716 2086272 2694288 3592384 4041432 5388576 7184768 8082864 10777152 16165728 21554304 32331456 64662912 101653241 203306482 304959723 406612964 609919446 813225928 914879169 1219838892 1626451856 1829758338 2439677784 3252903712 3659516676 4879355568 6505807424 7319033352 9758711136 13011614848 14638066704 19517422272 29276133408 39034844544 58552266816 117104533632