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53555368256 = 26132311324767
BaseRepresentation
bin110001111000001001…
…100001000101000000
312010020100212120222122
4301320021201011000
51334140133241011
640334125223412
73604103055605
oct617011410500
9163210776878
1053555368256
1120792677925
12a467701b68
135086524020
1428409c26ac
1515d6a8c3db
hexc78261140

53555368256 has 112 divisors (see below), whose sum is σ = 120486610944. Its totient is φ = 23432994816.

The previous prime is 53555368211. The next prime is 53555368259. The reversal of 53555368256 is 65286355535.

It is a super-3 number, since 3×535553682563 (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 53555368198 and 53555368207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53555368259) 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, 2149985 + ... + 2174751.

It is an arithmetic number, because the mean of its divisors is an integer number (1075773312).

Almost surely, 253555368256 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 53555368256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60243305472).

53555368256 is an abundant number, since it is smaller than the sum of its proper divisors (66931242688).

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

53555368256 is a wasteful number, since it uses less digits than its factorization.

53555368256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24928 (or 24918 counting only the distinct ones).

The product of its digits is 16200000, while the sum is 53.

The spelling of 53555368256 in words is "fifty-three billion, five hundred fifty-five million, three hundred sixty-eight thousand, two hundred fifty-six".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 92 104 113 184 208 226 299 368 416 452 598 736 832 904 1196 1469 1472 1808 2392 2599 2938 3616 4784 5198 5876 7232 9568 10396 11752 19136 20792 23504 24767 33787 41584 47008 49534 67574 83168 94016 99068 135148 166336 198136 270296 321971 396272 540592 569641 643942 792544 1081184 1139282 1287884 1585088 2162368 2278564 2575768 2798671 4557128 5151536 5597342 7405333 9114256 10303072 11194684 14810666 18228512 20606144 22389368 29621332 36382723 36457024 44778736 59242664 64369433 72765446 89557472 118485328 128738866 145530892 179114944 236970656 257477732 291061784 473941312 514955464 582123568 836802629 1029910928 1164247136 1673605258 2059821856 2328494272 3347210516 4119643712 6694421032 13388842064 26777684128 53555368256