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51255151000002 = 23331433257218623
BaseRepresentation
bin10111010011101110001010…
…00100010111100111000010
320201110221111121012110101000
423221313011010113213002
523204231022124000002
6301002142531152430
713540030265040465
oct1351670504274702
9221427447173330
1051255151000002
111537120757a824
1258b9712445716
13227a455c983a1
14c92a965cd2dc
155dd3e652261c
hex2e9dc51179c2

51255151000002 has 128 divisors (see below), whose sum is σ = 120346320568320. Its totient is φ = 16144377701760.

The previous prime is 51255150999931. The next prime is 51255151000003. The reversal of 51255151000002 is 20000015155215.

51255151000002 is a `hidden beast` number, since 5 + 1 + 2 + 551 + 5 + 100 + 0 + 0 + 0 + 2 = 666.

51255151000002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 51255151000002.

It is not an unprimeable number, because it can be changed into a prime (51255151000003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 234336063 + ... + 234554685.

It is an arithmetic number, because the mean of its divisors is an integer number (940205629440).

Almost surely, 251255151000002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51255151000002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60173160284160).

51255151000002 is an abundant number, since it is smaller than the sum of its proper divisors (69091169568318).

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

51255151000002 is a wasteful number, since it uses less digits than its factorization.

51255151000002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221965 (or 221959 counting only the distinct ones).

The product of its (nonzero) digits is 2500, while the sum is 27.

Adding to 51255151000002 its reverse (20000015155215), we get a palindrome (71255166155217).

The spelling of 51255151000002 in words is "fifty-one trillion, two hundred fifty-five billion, one hundred fifty-one million, two", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 27 31 43 54 62 86 93 129 186 258 279 387 558 774 837 1161 1333 1674 2322 2666 3257 3999 6514 7998 9771 11997 19542 23994 29313 35991 58626 71982 87939 100967 140051 175878 201934 218623 280102 302901 420153 437246 605802 655869 840306 908703 1260459 1311738 1817406 1967607 2520918 2726109 3781377 3935214 4341581 5452218 5902821 6777313 7562754 8683162 9400789 11805642 13024743 13554626 18801578 20331939 26049486 28202367 39074229 40663878 56404734 60995817 78148458 84607101 117222687 121991634 169214202 182987451 234445374 253821303 291424459 365974902 507642606 582848918 712055111 874273377 1424110222 1748546754 2136165333 2622820131 4272330666 5245640262 6408495999 7868460393 12816991998 15736920786 19225487997 22073708441 30618369773 38450975994 44147416882 61236739546 66221125323 91855109319 132442250646 183710218638 198663375969 275565327957 397326751938 551130655914 595990127907 826695983871 949169462963 1191980255814 1653391967742 1898338925926 2847508388889 5695016777778 8542525166667 17085050333334 25627575500001 51255151000002