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52706358656 = 277461127601
BaseRepresentation
bin110001000101100010…
…110011010110000000
312001001012022102202122
4301011202303112000
51330420311434111
640114000103412
73544053441140
oct610542632600
9161035272678
1052706358656
11203974023a6
12a26b304b68
134c7c671793
14279dd3a920
151587283cdb
hexc458b3580

52706358656 has 64 divisors (see below), whose sum is σ = 120262332960. Its totient is φ = 22539264000.

The previous prime is 52706358631. The next prime is 52706358673. The reversal of 52706358656 is 65685360725.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×527063586562 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 52706358598 and 52706358607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 349256 + ... + 476856.

Almost surely, 252706358656 is an apocalyptic number.

52706358656 is a gapful number since it is divisible by the number (56) 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 52706358656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60131166480).

52706358656 is an abundant number, since it is smaller than the sum of its proper divisors (67555974304).

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

52706358656 is a wasteful number, since it uses less digits than its factorization.

52706358656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128083 (or 128071 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 53.

The spelling of 52706358656 in words is "fifty-two billion, seven hundred six million, three hundred fifty-eight thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 461 896 922 1844 3227 3688 6454 7376 12908 14752 25816 29504 51632 59008 103264 127601 206528 255202 413056 510404 893207 1020808 1786414 2041616 3572828 4083232 7145656 8166464 14291312 16332928 28582624 57165248 58824061 114330496 117648122 235296244 411768427 470592488 823536854 941184976 1647073708 1882369952 3294147416 3764739904 6588294832 7529479808 13176589664 26353179328 52706358656