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238022933855136 = 25312794972055689
BaseRepresentation
bin110110000111101100001000…
…011010111011101110100000
31011012202202210111210202210220
4312013230020122323232200
5222144231432031331021
62202122120512523040
7101064406122413553
oct6607541032735640
91135682714722726
10238022933855136
1169928a60a09421
1222842532b50480
13a2a760a762561
1442ac52b44069a
151c7b7c93c4cc6
hexd87b086bbba0

238022933855136 has 96 divisors (see below), whose sum is σ = 629796581406720. Its totient is φ = 78707919015936.

The previous prime is 238022933855041. The next prime is 238022933855167. The reversal of 238022933855136 is 631558339220832.

238022933855136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 238022933855136.

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, 114759580 + ... + 116815268.

It is an arithmetic number, because the mean of its divisors is an integer number (6560381056320).

Almost surely, 2238022933855136 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 238022933855136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314898290703360).

238022933855136 is an abundant number, since it is smaller than the sum of its proper divisors (391773647551584).

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

238022933855136 is a wasteful number, since it uses less digits than its factorization.

238022933855136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2065326 (or 2065318 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 60.

The spelling of 238022933855136 in words is "two hundred thirty-eight trillion, twenty-two billion, nine hundred thirty-three million, eight hundred fifty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 127 254 381 508 762 1016 1524 2032 3048 4064 6096 9497 12192 18994 28491 37988 56982 75976 113964 151952 227928 303904 455856 911712 1206119 2055689 2412238 3618357 4111378 4824476 6167067 7236714 8222756 9648952 12334134 14473428 16445512 19297904 24668268 28946856 32891024 38595808 49336536 57893712 65782048 98673072 115787424 197346144 261072503 522145006 783217509 1044290012 1566435018 2088580024 3132870036 4177160048 6265740072 8354320096 12531480144 19522878433 25062960288 39045756866 58568635299 78091513732 117137270598 156183027464 234274541196 312366054928 468549082392 624732109856 937098164784 1874196329568 2479405560991 4958811121982 7438216682973 9917622243964 14876433365946 19835244487928 29752866731892 39670488975856 59505733463784 79340977951712 119011466927568 238022933855136