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54134115104 = 251737272689
BaseRepresentation
bin110010011010101001…
…010000101100100000
312011201200212222102002
4302122221100230200
51341331313140404
640511401543132
73624331246316
oct623251205440
9164650788362
1054134115104
1120a5a329a03
12a5a94a4aa8
1351493bac94
1428977d60b6
15161c7acc1e
hexc9aa50b20

54134115104 has 72 divisors (see below), whose sum is σ = 115979657220. Its totient is φ = 24786026496.

The previous prime is 54134115097. The next prime is 54134115109. The reversal of 54134115104 is 40151143145.

It can be written as a sum of positive squares in 6 ways, for example, as 44921954704 + 9212160400 = 211948^2 + 95980^2 .

It is not an unprimeable number, because it can be changed into a prime (54134115109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 708392 + ... + 781080.

Almost surely, 254134115104 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 54134115104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57989828610).

54134115104 is an abundant number, since it is smaller than the sum of its proper divisors (61845542116).

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

54134115104 is a wasteful number, since it uses less digits than its factorization.

54134115104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72790 (or 72745 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

Adding to 54134115104 its reverse (40151143145), we get a palindrome (94285258249).

The spelling of 54134115104 in words is "fifty-four billion, one hundred thirty-four million, one hundred fifteen thousand, one hundred four".

Divisors: 1 2 4 8 16 17 32 34 37 68 74 136 148 272 296 544 592 629 1184 1258 1369 2516 2738 5032 5476 10064 10952 20128 21904 23273 43808 46546 72689 93092 145378 186184 290756 372368 581512 744736 1163024 1235713 2326048 2471426 2689493 4942852 5378986 9885704 10757972 19771408 21515944 39542816 43031888 45721381 86063776 91442762 99511241 182885524 199022482 365771048 398044964 731542096 796089928 1463084192 1592179856 1691691097 3184359712 3383382194 6766764388 13533528776 27067057552 54134115104