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51045023124 = 22334116696907
BaseRepresentation
bin101111100010100001…
…010011110110010100
311212202102012211212000
4233202201103312110
51314020011214444
635241051555300
73454641352254
oct574241236624
9155672184760
1051045023124
111a714648427
129a86a5bb30
134a76411bc4
14268343b964
1514db4bb469
hexbe2853d94

51045023124 has 96 divisors (see below), whose sum is σ = 135667593600. Its totient is φ = 16587659520.

The previous prime is 51045023063. The next prime is 51045023171. The reversal of 51045023124 is 42132054015.

51045023124 is a `hidden beast` number, since 5 + 104 + 502 + 31 + 24 = 666.

51045023124 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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7386879 + ... + 7393785.

It is an arithmetic number, because the mean of its divisors is an integer number (1413204100).

Almost surely, 251045023124 is an apocalyptic number.

51045023124 is a gapful number since it is divisible by the number (54) 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 51045023124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67833796800).

51045023124 is an abundant number, since it is smaller than the sum of its proper divisors (84622570476).

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

51045023124 is a wasteful number, since it uses less digits than its factorization.

51045023124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8630 (or 8622 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 51045023124 its reverse (42132054015), we get a palindrome (93177077139).

The spelling of 51045023124 in words is "fifty-one billion, forty-five million, twenty-three thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 82 108 123 164 246 369 492 738 1107 1476 1669 2214 3338 4428 5007 6676 6907 10014 13814 15021 20028 20721 27628 30042 41442 45063 60084 62163 68429 82884 90126 124326 136858 180252 186489 205287 248652 273716 283187 372978 410574 566374 615861 745956 821148 849561 1132748 1231722 1699122 1847583 2463444 2548683 3398244 3695166 5097366 7390332 7646049 10194732 11527783 15292098 23055566 30584196 34583349 46111132 69166698 103750047 138333396 207500094 311250141 415000188 472639103 622500282 945278206 1245000564 1417917309 1890556412 2835834618 4253751927 5671669236 8507503854 12761255781 17015007708 25522511562 51045023124