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59383841344 = 268323672
BaseRepresentation
bin110111010011100011…
…011000001001000000
312200021120011200222021
4313103203120021000
51433104230410334
643140333451224
74201405215532
oct672343301100
9180246150867
1059383841344
11232036a2a33
12b613640b14
1357a4bc4779
142c34b01852
1518285e23b4
hexdd38d8240

59383841344 has 63 divisors (see below), whose sum is σ = 119602562547. Its totient is φ = 29254257024.

The previous prime is 59383841311. The next prime is 59383841369. The reversal of 59383841344 is 44314838395.

It is a happy number.

The square root of 59383841344 is 243688.

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

It is a super-2 number, since 2×593838413442 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 59383841291 and 59383841300.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 161808649 + ... + 161809015.

Almost surely, 259383841344 is an apocalyptic number.

59383841344 is the 243688-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 59383841344

59383841344 is an abundant number, since it is smaller than the sum of its proper divisors (60218721203).

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

59383841344 is an frugal number, since it uses more digits than its factorization.

59383841344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 452 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 52.

The spelling of 59383841344 in words is "fifty-nine billion, three hundred eighty-three million, eight hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 64 83 166 332 367 664 734 1328 1468 2656 2936 5312 5872 6889 11744 13778 23488 27556 30461 55112 60922 110224 121844 134689 220448 243688 269378 440896 487376 538756 974752 1077512 1949504 2155024 2528263 4310048 5056526 8620096 10113052 11179187 20226104 22358374 40452208 44716748 80904416 89433496 161808832 178866992 357733984 715467968 927872521 1855745042 3711490084 7422980168 14845960336 29691920672 59383841344