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117557806000 = 2453372117529
BaseRepresentation
bin110110101111011111…
…1011100001110110000
3102020102210202022010211
41231132333130032300
53411224244243000
6130001051433504
711331122602165
oct1553677341660
9366383668124
10117557806000
1145946353678
121a949a55894
13b11624736b
145992c6206c
1530d08977ba
hex1b5efdc3b0

117557806000 has 160 divisors (see below), whose sum is σ = 293359884480. Its totient is φ = 45529344000.

The previous prime is 117557805997. The next prime is 117557806019. The reversal of 117557806000 is 608755711.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15610236 + ... + 15617764.

It is an arithmetic number, because the mean of its divisors is an integer number (1833499278).

Almost surely, 2117557806000 is an apocalyptic number.

117557806000 is a gapful number since it is divisible by the number (10) 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 117557806000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146679942240).

117557806000 is an abundant number, since it is smaller than the sum of its proper divisors (175802078480).

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

117557806000 is a wasteful number, since it uses less digits than its factorization.

117557806000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7800 (or 7784 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 40.

The spelling of 117557806000 in words is "one hundred seventeen billion, five hundred fifty-seven million, eight hundred six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 37 40 50 74 80 100 125 148 185 200 211 250 296 370 400 422 500 592 740 844 925 1000 1055 1480 1688 1850 2000 2110 2960 3376 3700 4220 4625 5275 7400 7529 7807 8440 9250 10550 14800 15058 15614 16880 18500 21100 26375 30116 31228 37000 37645 39035 42200 52750 60232 62456 74000 75290 78070 84400 105500 120464 124912 150580 156140 188225 195175 211000 278573 301160 312280 376450 390350 422000 557146 602320 624560 752900 780700 941125 975875 1114292 1392865 1505800 1561400 1588619 1882250 1951750 2228584 2785730 3011600 3122800 3177238 3764500 3903500 4457168 5571460 6354476 6964325 7529000 7807000 7943095 11142920 12708952 13928650 15058000 15614000 15886190 22285840 25417904 27857300 31772380 34821625 39715475 55714600 58778903 63544760 69643250 79430950 111429200 117557806 127089520 139286500 158861900 198577375 235115612 278573000 293894515 317723800 397154750 470231224 557146000 587789030 635447600 794309500 940462448 1175578060 1469472575 1588619000 2351156120 2938945150 3177238000 4702312240 5877890300 7347362875 11755780600 14694725750 23511561200 29389451500 58778903000 117557806000