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117126959952 = 24329269312799
BaseRepresentation
bin110110100010101001…
…1111001001101010000
3102012022210001001110210
41231011103321031100
53404334000204302
6125450221124120
711314341506232
oct1550523711520
9365283031423
10117126959952
114574512a662
121a8496b9640
13b077bc5982
14595194c252
1530a7b3e66c
hex1b454f9350

117126959952 has 80 divisors (see below), whose sum is σ = 314176320000. Its totient is φ = 37555779072.

The previous prime is 117126959863. The next prime is 117126959977. The reversal of 117126959952 is 259959621711.

It is a junction number, because it is equal to n+sod(n) for n = 117126959892 and 117126959901.

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, 218049 + ... + 530847.

It is an arithmetic number, because the mean of its divisors is an integer number (3927204000).

Almost surely, 2117126959952 is an apocalyptic number.

117126959952 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 117126959952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157088160000).

117126959952 is an abundant number, since it is smaller than the sum of its proper divisors (197049360048).

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

117126959952 is a wasteful number, since it uses less digits than its factorization.

117126959952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313108 (or 313102 counting only the distinct ones).

The product of its digits is 3061800, while the sum is 57.

The spelling of 117126959952 in words is "one hundred seventeen billion, one hundred twenty-six million, nine hundred fifty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 269 348 464 538 696 807 1076 1392 1614 2152 3228 4304 6456 7801 12912 15602 23403 31204 46806 62408 93612 124816 187224 312799 374448 625598 938397 1251196 1876794 2502392 3753588 5004784 7507176 9071171 15014352 18142342 27213513 36284684 54427026 72569368 84142931 108854052 145138736 168285862 217708104 252428793 336571724 435416208 504857586 673143448 1009715172 1346286896 2019430344 2440144999 4038860688 4880289998 7320434997 9760579996 14640869994 19521159992 29281739988 39042319984 58563479976 117126959952