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52141059584 = 2917311731117
BaseRepresentation
bin110000100011110110…
…010110111000000000
311222120210121021012222
4300203312112320000
51323241102401314
635541523510212
73524050456655
oct604366267000
9158523537188
1052141059584
11201272a5889
12a131b28368
134bbc5057a3
142748c27c2c
15155281cc8e
hexc23d96e00

52141059584 has 160 divisors (see below), whose sum is σ = 114627591936. Its totient is φ = 23587061760.

The previous prime is 52141059577. The next prime is 52141059589. The reversal of 52141059584 is 48595014125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52141059589) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46678994 + ... + 46680110.

Almost surely, 252141059584 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 52141059584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57313795968).

52141059584 is an abundant number, since it is smaller than the sum of its proper divisors (62486532352).

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

52141059584 is a wasteful number, since it uses less digits than its factorization.

52141059584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 44.

The spelling of 52141059584 in words is "fifty-two billion, one hundred forty-one million, fifty-nine thousand, five hundred eighty-four".

Divisors: 1 2 4 8 16 17 31 32 34 62 64 68 124 128 136 173 248 256 272 346 496 512 527 544 692 992 1054 1088 1117 1384 1984 2108 2176 2234 2768 2941 3968 4216 4352 4468 5363 5536 5882 7936 8432 8704 8936 10726 11072 11764 15872 16864 17872 18989 21452 22144 23528 33728 34627 35744 37978 42904 44288 47056 67456 69254 71488 75956 85808 88576 91171 94112 134912 138508 142976 151912 171616 182342 188224 193241 269824 277016 285952 303824 343232 364684 376448 386482 554032 571904 588659 607648 686464 729368 752896 772964 1108064 1177318 1215296 1372928 1458736 1505792 1545928 2216128 2354636 2430592 2745856 2917472 3091856 3285097 4432256 4709272 4861184 5834944 5990471 6183712 6570194 8864512 9418544 9722368 11669888 11980942 12367424 13140388 17729024 18837088 23339776 23961884 24734848 26280776 37674176 46679552 47923768 49469696 52561552 75348352 95847536 98939392 101838007 105123104 150696704 191695072 203676014 210246208 301393408 383390144 407352028 420492416 766780288 814704056 840984832 1533560576 1629408112 1681969664 3067121152 3258816224 6517632448 13035264896 26070529792 52141059584