Search a number
-
+
117816895056 = 24374347173501
BaseRepresentation
bin110110110111001101…
…1110010011001010000
3102021002212021101111210
41231232123302121100
53412242111120211
6130042504540120
711340420040650
oct1555633623120
9367085241453
10117816895056
1145a69625063
121aa00781640
13b157b1cab3
1459b9426360
1530e84c49a6
hex1b6e6f2650

117816895056 has 160 divisors (see below), whose sum is σ = 363504734208. Its totient is φ = 32179392000.

The previous prime is 117816895019. The next prime is 117816895057. The reversal of 117816895056 is 650598618711.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 117816894987 and 117816895005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117816895057) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 592306 + ... + 765806.

Almost surely, 2117816895056 is an apocalyptic number.

117816895056 is a gapful number since it is divisible by the number (16) 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 117816895056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181752367104).

117816895056 is an abundant number, since it is smaller than the sum of its proper divisors (245687839152).

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

117816895056 is a wasteful number, since it uses less digits than its factorization.

117816895056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173609 (or 173603 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 57.

The spelling of 117816895056 in words is "one hundred seventeen billion, eight hundred sixteen million, eight hundred ninety-five thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 43 47 48 56 84 86 94 112 129 141 168 172 188 258 282 301 329 336 344 376 516 564 602 658 688 752 903 987 1032 1128 1204 1316 1806 1974 2021 2064 2256 2408 2632 3612 3948 4042 4816 5264 6063 7224 7896 8084 12126 14147 14448 15792 16168 24252 28294 32336 42441 48504 56588 84882 97008 113176 169764 173501 226352 339528 347002 520503 679056 694004 1041006 1214507 1388008 2082012 2429014 2776016 3643521 4164024 4858028 7287042 7460543 8154547 8328048 9716056 14574084 14921086 16309094 19432112 22381629 24463641 29148168 29842172 32618188 44763258 48927282 52223801 57081829 58296336 59684344 65236376 89526516 97854564 104447602 114163658 119368688 130472752 156671403 171245487 179053032 195709128 208895204 228327316 313342806 342490974 350645521 358106064 391418256 417790408 456654632 626685612 684981948 701291042 835580816 913309264 1051936563 1253371224 1369963896 1402582084 2103873126 2454518647 2506742448 2739927792 2805164168 4207746252 4909037294 5610328336 7363555941 8415492504 9818074588 14727111882 16830985008 19636149176 29454223764 39272298352 58908447528 117816895056