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59364131968 = 2723193104479
BaseRepresentation
bin110111010010011000…
…001100010010000000
312200020012002100210101
4313102120030102000
51433034204210333
643134351212144
74201045540021
oct672230142200
9180205070711
1059364131968
11231a3560a99
12b608b17054
1357a0ab370b
142c32250c48
1518269ec67d
hexdd260c480

59364131968 has 64 divisors (see below), whose sum is σ = 124047014400. Its totient is φ = 28244164608.

The previous prime is 59364131923. The next prime is 59364131977. The reversal of 59364131968 is 86913146395.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 515953 + ... + 620431.

It is an arithmetic number, because the mean of its divisors is an integer number (1938234600).

Almost surely, 259364131968 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 59364131968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62023507200).

59364131968 is an abundant number, since it is smaller than the sum of its proper divisors (64682882432).

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

59364131968 is a wasteful number, since it uses less digits than its factorization.

59364131968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104709 (or 104697 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 55.

The spelling of 59364131968 in words is "fifty-nine billion, three hundred sixty-four million, one hundred thirty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 193 368 386 736 772 1472 1544 2944 3088 4439 6176 8878 12352 17756 24704 35512 71024 104479 142048 208958 284096 417916 568192 835832 1671664 2403017 3343328 4806034 6686656 9612068 13373312 19224136 20164447 38448272 40328894 76896544 80657788 153793088 161315576 307586176 322631152 463782281 645262304 927564562 1290524608 1855129124 2581049216 3710258248 7420516496 14841032992 29682065984 59364131968