Search a number
-
+
54691867206024 = 23361439842310103
BaseRepresentation
bin11000110111101111100010…
…10100010010000110001000
321011122111021021001121211020
430123313301110102012020
524132032421001043044
6312153032534432440
714343233311562166
oct1433676124220610
9234574237047736
1054691867206024
1116476766250914
126173797802720
132469561a8c0c9
14d71159a98236
1564c9dabe5a19
hex31bdf1512188

54691867206024 has 128 divisors (see below), whose sum is σ = 139318025932800. Its totient is φ = 17887018210560.

The previous prime is 54691867206017. The next prime is 54691867206127. The reversal of 54691867206024 is 42060276819645.

It is a happy number.

It is a Cunningham number, because it is equal to 73953952-1.

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, 5413423357 + ... + 5413433459.

It is an arithmetic number, because the mean of its divisors is an integer number (1088422077600).

Almost surely, 254691867206024 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 54691867206024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69659012966400).

54691867206024 is an abundant number, since it is smaller than the sum of its proper divisors (84626158726776).

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

54691867206024 is a wasteful number, since it uses less digits than its factorization.

54691867206024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19035 (or 19031 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 60.

The spelling of 54691867206024 in words is "fifty-four trillion, six hundred ninety-one billion, eight hundred sixty-seven million, two hundred six thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 61 122 183 244 366 439 488 732 878 1317 1464 1756 2634 3512 5268 8423 10103 10536 16846 20206 25269 26779 30309 33692 40412 50538 53558 60618 67384 80337 80824 101076 107116 121236 160674 202152 214232 242472 321348 513803 616283 642696 1027606 1232566 1541409 1848849 2055212 2465132 3082818 3697697 3697698 4110424 4435217 4930264 6165636 7395394 7395396 8870434 11093091 12331272 13305651 14790788 14790792 17740868 22186182 26611302 29581576 35481736 44372364 53222604 85097569 88744728 106445208 170195138 225559517 255292707 270548237 340390276 451119034 510585414 541096474 676678551 680780552 811644711 902238068 1021170828 1082192948 1353357102 1623289422 1804476136 2042341656 2164385896 2706714204 3246578844 5190951709 5413428408 6493157688 10381903418 15572855127 20763806836 31145710254 37357832791 41527613672 62291420508 74715665582 112073498373 124582841016 149431331164 224146996746 298862662328 448293993492 896587986984 2278827800251 4557655600502 6836483400753 9115311201004 13672966801506 18230622402008 27345933603012 54691867206024