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113107184543376 = 24335923319045769
BaseRepresentation
bin11001101101111011010001…
…100011100110011010010000
3112211110221102011110000112000
4121231323101203212122100
5104311122003220342001
61040320420120034000
732552503321412022
oct3155732143463220
9484427364400460
10113107184543376
113304853aa81821
1210828b1b302900
134b15c66c1b89a
141dd05ba132012
15d1229dcaea86
hex66ded18e6690

113107184543376 has 160 divisors (see below), whose sum is σ = 331579237392000. Its totient is φ = 36904299005952.

The previous prime is 113107184543357. The next prime is 113107184543389. The reversal of 113107184543376 is 673345481701311.

113107184543376 is a `hidden beast` number, since 1 + 1 + 3 + 10 + 7 + 1 + 84 + 543 + 3 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3584181 + ... + 15461588.

It is an arithmetic number, because the mean of its divisors is an integer number (2072370233700).

Almost surely, 2113107184543376 is an apocalyptic number.

113107184543376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

113107184543376 is an abundant number, since it is smaller than the sum of its proper divisors (218472052848624).

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

113107184543376 is a wasteful number, since it uses less digits than its factorization.

113107184543376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19046078 (or 19046066 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 113107184543376 in words is "one hundred thirteen trillion, one hundred seven billion, one hundred eighty-four million, five hundred forty-three thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 59 72 108 118 144 177 216 233 236 354 432 466 472 531 699 708 932 944 1062 1398 1416 1593 1864 2097 2124 2796 2832 3186 3728 4194 4248 5592 6291 6372 8388 8496 11184 12582 12744 13747 16776 25164 25488 27494 33552 41241 50328 54988 82482 100656 109976 123723 164964 219952 247446 329928 371169 494892 659856 742338 989784 1484676 1979568 2969352 5938704 19045769 38091538 57137307 76183076 114274614 152366152 171411921 228549228 304732304 342823842 457098456 514235763 685647684 914196912 1028471526 1123700371 1371295368 2056943052 2247400742 2742590736 3371101113 4113886104 4437664177 4494801484 6742202226 8227772208 8875328354 8989602968 10113303339 13312992531 13484404452 17750656708 17979205936 20226606678 26625985062 26968808904 30339910017 35501313416 39938977593 40453213356 53251970124 53937617808 60679820034 71002626832 79877955186 80906426712 106503940248 119816932779 121359640068 159755910372 161812853424 213007880496 239633865558 242719280136 261822186443 319511820744 479267731116 485438560272 523644372886 639023641488 785466559329 958535462232 1047288745772 1570933118658 1917070924464 2094577491544 2356399677987 3141866237316 4189154983088 4712799355974 6283732474632 7069199033961 9425598711948 12567464949264 14138398067922 18851197423896 28276796135844 37702394847792 56553592271688 113107184543376