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117218825152 = 26111313197771
BaseRepresentation
bin110110100101011001…
…0010101001111000000
3102012120011220021211121
41231022302111033000
53410031004401102
6125503302122024
711316535400632
oct1551262251700
9365504807747
10117218825152
1145791a75310
121a874420314
13b090c4b890
14595dc22a52
1530b0c38b37
hex1b4ac953c0

117218825152 has 112 divisors (see below), whose sum is σ = 275360367744. Its totient is φ = 48806784000.

The previous prime is 117218825147. The next prime is 117218825161. The reversal of 117218825152 is 251528812711.

It is a junction number, because it is equal to n+sod(n) for n = 117218825099 and 117218825108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1150027 + ... + 1247797.

It is an arithmetic number, because the mean of its divisors is an integer number (2458574712).

Almost surely, 2117218825152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117218825152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137680183872).

117218825152 is an abundant number, since it is smaller than the sum of its proper divisors (158141542592).

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

117218825152 is a wasteful number, since it uses less digits than its factorization.

117218825152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97938 (or 97928 counting only the distinct ones).

The product of its digits is 89600, while the sum is 43.

The spelling of 117218825152 in words is "one hundred seventeen billion, two hundred eighteen million, eight hundred twenty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 131 143 176 208 262 286 352 416 524 572 704 832 1048 1144 1441 1703 2096 2288 2882 3406 4192 4576 5764 6812 8384 9152 11528 13624 18733 23056 27248 37466 46112 54496 74932 92224 97771 108992 149864 195542 299728 391084 599456 782168 1075481 1198912 1271023 1564336 2150962 2542046 3128672 4301924 5084092 6257344 8603848 10168184 12808001 13981253 17207696 20336368 25616002 27962506 34415392 40672736 51232004 55925012 68830784 81345472 102464008 111850024 140888011 166504013 204928016 223700048 281776022 333008026 409856032 447400096 563552044 666016052 819712064 894800192 1127104088 1332032104 1831544143 2254208176 2664064208 3663088286 4508416352 5328128416 7326176572 9016832704 10656256832 14652353144 29304706288 58609412576 117218825152