Search a number
-
+
51124533264 = 2433716906261
BaseRepresentation
bin101111100111010000…
…100111100000010000
311212221221211101021000
4233213100213200100
51314200340031024
635253012102000
73456625235250
oct574720474020
9155857741230
1051124533264
111a755514592
129aa9604900
134a89a3031c
14268dc17960
1514e3474cc9
hexbe7427810

51124533264 has 80 divisors (see below), whose sum is σ = 167710119040. Its totient is φ = 14607008640.

The previous prime is 51124533253. The next prime is 51124533287. The reversal of 51124533264 is 46233542115.

51124533264 is a `hidden beast` number, since 5 + 112 + 4 + 533 + 2 + 6 + 4 = 666.

It is a super-2 number, since 2×511245332642 (a number of 22 digits) contains 22 as substring.

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

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, 8450107 + ... + 8456154.

It is an arithmetic number, because the mean of its divisors is an integer number (2096376488).

Almost surely, 251124533264 is an apocalyptic number.

51124533264 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

51124533264 is an abundant number, since it is smaller than the sum of its proper divisors (116585585776).

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

51124533264 is a wasteful number, since it uses less digits than its factorization.

51124533264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16906285 (or 16906273 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The spelling of 51124533264 in words is "fifty-one billion, one hundred twenty-four million, five hundred thirty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 16906261 33812522 50718783 67625044 101437566 118343827 135250088 152156349 202875132 236687654 270500176 304312698 355031481 405750264 456469047 473375308 608625396 710062962 811500528 912938094 946750616 1065094443 1217250792 1420125924 1825876188 1893501232 2130188886 2434501584 2840251848 3195283329 3651752376 4260377772 5680503696 6390566658 7303504752 8520755544 12781133316 17041511088 25562266632 51124533264