Search a number
-
+
54347990336 = 2617194361141
BaseRepresentation
bin110010100111011001…
…001000010101000000
312012021121022222001222
4302213121020111000
51342301041142321
640544522014212
73632536203263
oct624731102500
9165247288058
1054347990336
112105a0295a2
12a649047368
1351817c2983
1428b7d8acda
1516314583ab
hexca7648540

54347990336 has 112 divisors (see below), whose sum is σ = 122998138560. Its totient is φ = 23665582080.

The previous prime is 54347990329. The next prime is 54347990341. The reversal of 54347990336 is 63309974345.

It is a happy number.

It is a congruent number.

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, 858326 + ... + 919466.

Almost surely, 254347990336 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 54347990336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61499069280).

54347990336 is an abundant number, since it is smaller than the sum of its proper divisors (68650148224).

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

54347990336 is a wasteful number, since it uses less digits than its factorization.

54347990336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61232 (or 61222 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 53.

The spelling of 54347990336 in words is "fifty-four billion, three hundred forty-seven million, nine hundred ninety thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 17 19 32 34 38 43 64 68 76 86 136 152 172 272 304 323 344 544 608 646 688 731 817 1088 1216 1292 1376 1462 1634 2584 2752 2924 3268 5168 5848 6536 10336 11696 13072 13889 20672 23392 26144 27778 46784 52288 55556 61141 111112 122282 222224 244564 444448 489128 888896 978256 1039397 1161679 1956512 2078794 2323358 2629063 3913024 4157588 4646716 5258126 8315176 9293432 10516252 16630352 18586864 19748543 21032504 33260704 37173728 39497086 42065008 44694071 49952197 66521408 74347456 78994172 84130016 89388142 99904394 157988344 168260032 178776284 199808788 315976688 357552568 399617576 631953376 715105136 799235152 849187349 1263906752 1430210272 1598470304 1698374698 2860420544 3196940608 3396749396 6793498792 13586997584 27173995168 54347990336