Search a number
-
+
12056137056 = 2532232962761
BaseRepresentation
bin10110011101001101…
…00000110101100000
31011010012202012220200
423032212200311200
5144142332341211
65312152505200
7604522321425
oct131646406540
934105665820
1012056137056
115127414237
1224056ab200
1311a198b412
14825271d4c
154a865db56
hex2ce9a0d60

12056137056 has 144 divisors (see below), whose sum is σ = 37009496160. Its totient is φ = 3711375360.

The previous prime is 12056137021. The next prime is 12056137063. The reversal of 12056137056 is 65073165021.

12056137056 is a `hidden beast` number, since 1 + 20 + 561 + 3 + 70 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 12056137056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160716 + ... + 223476.

It is an arithmetic number, because the mean of its divisors is an integer number (257010390).

Almost surely, 212056137056 is an apocalyptic number.

12056137056 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 12056137056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18504748080).

12056137056 is an abundant number, since it is smaller than the sum of its proper divisors (24953359104).

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

12056137056 is a wasteful number, since it uses less digits than its factorization.

12056137056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62829 (or 62818 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 12056137056 in words is "twelve billion, fifty-six million, one hundred thirty-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 29 32 36 46 48 58 69 72 87 92 96 116 138 144 174 184 207 232 261 276 288 348 368 414 464 522 552 667 696 736 828 928 1044 1104 1334 1392 1656 2001 2088 2208 2668 2784 3312 4002 4176 5336 6003 6624 8004 8352 10672 12006 16008 21344 24012 32016 48024 62761 64032 96048 125522 188283 192096 251044 376566 502088 564849 753132 1004176 1129698 1443503 1506264 1820069 2008352 2259396 2887006 3012528 3640138 4330509 4518792 5460207 5774012 6025056 7280276 8661018 9037584 10920414 11548024 12991527 14560552 16380621 17322036 18075168 21840828 23096048 25983054 29121104 32761242 34644072 41861587 43681656 46192096 51966108 58242208 65522484 69288144 83723174 87363312 103932216 125584761 131044968 138576288 167446348 174726624 207864432 251169522 262089936 334892696 376754283 415728864 502339044 524179872 669785392 753508566 1004678088 1339570784 1507017132 2009356176 3014034264 4018712352 6028068528 12056137056