Search a number
-
+
54505023588 = 2232192923911497
BaseRepresentation
bin110010110000110000…
…001010100001100100
312012200112211002012100
4302300300022201210
51343111241223323
641012251452100
73636454025211
oct626060124144
9165615732170
1054505023588
112112a734a44
12a691757030
1351a81b4c62
1428d0b86b08
151640126943
hexcb0c0a864

54505023588 has 144 divisors (see below), whose sum is σ = 150669792000. Its totient is φ = 16547618304.

The previous prime is 54505023583. The next prime is 54505023623. The reversal of 54505023588 is 88532050545.

54505023588 is a `hidden beast` number, since 5 + 45 + 0 + 5 + 0 + 23 + 588 = 666.

It is not an unprimeable number, because it can be changed into a prime (54505023583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4735056 + ... + 4746552.

It is an arithmetic number, because the mean of its divisors is an integer number (1046318000).

Almost surely, 254505023588 is an apocalyptic number.

54505023588 is a gapful number since it is divisible by the number (58) 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 54505023588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75334896000).

54505023588 is an abundant number, since it is smaller than the sum of its proper divisors (96164768412).

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

54505023588 is a wasteful number, since it uses less digits than its factorization.

54505023588 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11794 (or 11789 counting only the distinct ones).

The product of its (nonzero) digits is 960000, while the sum is 45.

The spelling of 54505023588 in words is "fifty-four billion, five hundred five million, twenty-three thousand, five hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 29 36 38 57 58 76 87 114 116 171 174 228 239 261 342 348 478 522 551 684 717 956 1044 1102 1434 1653 2151 2204 2868 3306 4302 4541 4959 6612 6931 8604 9082 9918 11497 13623 13862 18164 19836 20793 22994 27246 27724 34491 40869 41586 45988 54492 62379 68982 81738 83172 103473 124758 131689 137964 163476 206946 218443 249516 263378 333413 395067 413892 436886 526756 655329 666826 790134 873772 1000239 1185201 1310658 1333652 1580268 1965987 2000478 2370402 2621316 2747783 3000717 3931974 4000956 4740804 5495566 6001434 6334847 7863948 8243349 10991132 12002868 12669694 16486698 19004541 24730047 25339388 32973396 38009082 49460094 52207877 57013623 76018164 79685707 98920188 104415754 114027246 156623631 159371414 208831508 228054492 239057121 313247262 318742828 469870893 478114242 626494524 717171363 939741786 956228484 1434342726 1514028433 1879483572 2868685452 3028056866 4542085299 6056113732 9084170598 13626255897 18168341196 27252511794 54505023588