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117557030304 = 2532782370853
BaseRepresentation
bin110110101111011110…
…0011110110110100000
3102020102202021220002100
41231132330132312200
53411224044432204
6130001023050400
711331113161530
oct1553674366640
9366382256070
10117557030304
11459459738aa
121a949740a00
13b11603527c
145992add4c0
1530d0792a39
hex1b5ef1eda0

117557030304 has 144 divisors (see below), whose sum is σ = 382529976192. Its totient is φ = 33546438144.

The previous prime is 117557030303. The next prime is 117557030323. The reversal of 117557030304 is 403030755711.

117557030304 is a `hidden beast` number, since 11 + 75 + 570 + 3 + 0 + 3 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 (117557030303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1623742 + ... + 1694594.

It is an arithmetic number, because the mean of its divisors is an integer number (2656458168).

Almost surely, 2117557030304 is an apocalyptic number.

117557030304 is a gapful number since it is divisible by the number (14) 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 117557030304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191264988096).

117557030304 is an abundant number, since it is smaller than the sum of its proper divisors (264972945888).

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

117557030304 is a wasteful number, since it uses less digits than its factorization.

117557030304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71699 (or 71688 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The spelling of 117557030304 in words is "one hundred seventeen billion, five hundred fifty-seven million, thirty thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 823 1008 1646 2016 2469 3292 4938 5761 6584 7407 9876 11522 13168 14814 17283 19752 23044 26336 29628 34566 39504 46088 51849 59256 69132 70853 79008 92176 103698 118512 138264 141706 184352 207396 212559 237024 276528 283412 414792 425118 495971 553056 566824 637677 829584 850236 991942 1133648 1275354 1487913 1659168 1700472 1983884 2267296 2550708 2975826 3400944 3967768 4463739 5101416 5951652 6801888 7935536 8927478 10202832 11903304 15871072 17854956 20405664 23806608 35709912 47613216 58312019 71419824 116624038 142839648 174936057 233248076 349872114 408184133 466496152 524808171 699744228 816368266 932992304 1049616342 1224552399 1399488456 1632736532 1865984608 2099232684 2449104798 2798976912 3265473064 3673657197 4198465368 4898209596 5597953824 6530946128 7347314394 8396930736 9796419192 13061892256 14694628788 16793861472 19592838384 29389257576 39185676768 58778515152 117557030304