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64031137568 = 2517197187253
BaseRepresentation
bin111011101000100011…
…011001111100100000
320010021102212210220122
4323220203121330200
52022113432400233
645225425255412
74424515455236
oct735043317440
9203242783818
1064031137568
11251789a9412
12104aba94568
1360659615a8
143155dd0956
1519eb5c8d98
hexee88d9f20

64031137568 has 96 divisors (see below), whose sum is σ = 142482291840. Its totient is φ = 28144005120.

The previous prime is 64031137543. The next prime is 64031137613. The reversal of 64031137568 is 86573113046.

64031137568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 690230 + ... + 777482.

It is an arithmetic number, because the mean of its divisors is an integer number (1484190540).

Almost surely, 264031137568 is an apocalyptic number.

64031137568 is a gapful number since it is divisible by the number (68) 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 64031137568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71241145920).

64031137568 is an abundant number, since it is smaller than the sum of its proper divisors (78451154272).

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

64031137568 is a wasteful number, since it uses less digits than its factorization.

64031137568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87370 (or 87362 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 44.

The spelling of 64031137568 in words is "sixty-four billion, thirty-one million, one hundred thirty-seven thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 16 17 19 32 34 38 68 71 76 136 142 152 272 284 304 323 544 568 608 646 1136 1207 1292 1349 2272 2414 2584 2698 4828 5168 5396 9656 10336 10792 19312 21584 22933 38624 43168 45866 87253 91732 174506 183464 349012 366928 698024 733856 1396048 1483301 1657807 2792096 2966602 3315614 5933204 6194963 6631228 11866408 12389926 13262456 23732816 24779852 26524912 28182719 47465632 49559704 53049824 56365438 99119408 105314371 112730876 117704297 198238816 210628742 225461752 235408594 421257484 450923504 470817188 842514968 901847008 941634376 1685029936 1883268752 2000973049 3370059872 3766537504 4001946098 8003892196 16007784392 32015568784 64031137568