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52791495696 = 24324124672
BaseRepresentation
bin110001001010100111…
…100100110000010000
312001021010111211211100
4301022213210300100
51331104110330241
640130240544400
73546136211112
oct611247446020
9161233454740
1052791495696
1120430472095
12a293922100
134c941b0124
1427ab37d3b2
15158e99e9b6
hexc4a9e4c10

52791495696 has 135 divisors (see below), whose sum is σ = 151759205533. Its totient is φ = 17131203840.

The previous prime is 52791495619. The next prime is 52791495707. The reversal of 52791495696 is 69659419725.

The square root of 52791495696 is 229764.

It is a perfect power (a square), and thus also a powerful number.

52791495696 is a `hidden beast` number, since 5 + 27 + 9 + 1 + 49 + 569 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2543790096 + 50247705600 = 50436^2 + 224160^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 113043655 + ... + 113044121.

Almost surely, 252791495696 is an apocalyptic number.

52791495696 is the 229764-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52791495696

52791495696 is an abundant number, since it is smaller than the sum of its proper divisors (98967709837).

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

52791495696 is an equidigital number, since it uses as much as digits as its factorization.

52791495696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1030 (or 513 counting only the distinct ones).

The product of its digits is 36741600, while the sum is 63.

The spelling of 52791495696 in words is "fifty-two billion, seven hundred ninety-one million, four hundred ninety-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 164 246 328 369 467 492 656 738 934 984 1401 1476 1681 1868 1968 2802 2952 3362 3736 4203 5043 5604 5904 6724 7472 8406 10086 11208 13448 15129 16812 19147 20172 22416 26896 30258 33624 38294 40344 57441 60516 67248 76588 80688 114882 121032 153176 172323 218089 229764 242064 306352 344646 436178 459528 654267 689292 785027 872356 919056 1308534 1378584 1570054 1744712 1962801 2355081 2617068 2757168 3140108 3489424 3925602 4710162 5234136 6280216 7065243 7851204 8941649 9420324 10468272 12560432 14130486 15702408 17883298 18840648 26824947 28260972 31404816 35766596 37681296 53649894 56521944 71533192 80474841 107299788 113043888 143066384 160949682 214599576 321899364 366607609 429199152 643798728 733215218 1099822827 1287597456 1466430436 2199645654 2932860872 3299468481 4399291308 5865721744 6598936962 8798582616 13197873924 17597165232 26395747848 52791495696