Search a number
-
+
54861233865912 = 233210315114895887
BaseRepresentation
bin11000111100101011000000…
…10110110100010010111000
321012020200102201022101122100
430132111200112310102320
524142321301332202122
6312402523010023400
714361410342461545
oct1436254026642270
9235220381271570
1054861233865912
1116531578319201
1261a0584277b60
13247c513746216
14d79425589bcc
156520eeb39aac
hex31e5605b44b8

54861233865912 has 96 divisors (see below), whose sum is σ = 150124376263680. Its totient is φ = 18097544681280.

The previous prime is 54861233865871. The next prime is 54861233865913. The reversal of 54861233865912 is 21956833216845.

54861233865912 is a `hidden beast` number, since 5 + 4 + 8 + 6 + 1 + 2 + 3 + 38 + 6 + 591 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 54861233865912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54861233865913) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8757633 + ... + 13653519.

It is an arithmetic number, because the mean of its divisors is an integer number (1563795586080).

Almost surely, 254861233865912 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 54861233865912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75062188131840).

54861233865912 is an abundant number, since it is smaller than the sum of its proper divisors (95263142397768).

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

54861233865912 is a wasteful number, since it uses less digits than its factorization.

54861233865912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4897513 (or 4897506 counting only the distinct ones).

The product of its digits is 74649600, while the sum is 63.

The spelling of 54861233865912 in words is "fifty-four trillion, eight hundred sixty-one billion, two hundred thirty-three million, eight hundred sixty-five thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 103 206 309 412 618 824 927 1236 1511 1854 2472 3022 3708 4533 6044 7416 9066 12088 13599 18132 27198 36264 54396 108792 155633 311266 466899 622532 933798 1245064 1400697 1867596 2801394 3735192 4895887 5602788 9791774 11205576 14687661 19583548 29375322 39167096 44062983 58750644 88125966 117501288 176251932 352503864 504276361 1008552722 1512829083 2017105444 3025658166 4034210888 4538487249 6051316332 7397685257 9076974498 12102632664 14795370514 18153948996 22193055771 29590741028 36307897992 44386111542 59181482056 66579167313 88772223084 133158334626 177544446168 266316669252 532633338504 761961581471 1523923162942 2285884744413 3047846325884 4571769488826 6095692651768 6857654233239 9143538977652 13715308466478 18287077955304 27430616932956 54861233865912