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64515728688 = 24317837391289
BaseRepresentation
bin111100000101011011…
…111110010100110000
320011112012201120221220
4330011123332110300
52024112011304223
645345455545040
74442521434315
oct740533762460
9204465646856
1064515728688
11253a74a0944
121060622b180
13611217cbb8
1431a04d4d0c
151a28deb6e3
hexf056fe530

64515728688 has 160 divisors (see below), whose sum is σ = 178976044800. Its totient is φ = 19953819648.

The previous prime is 64515728681. The next prime is 64515728689. The reversal of 64515728688 is 88682751546.

It is not an unprimeable number, because it can be changed into a prime (64515728681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50050348 + ... + 50051636.

It is an arithmetic number, because the mean of its divisors is an integer number (1118600280).

Almost surely, 264515728688 is an apocalyptic number.

64515728688 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 64515728688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89488022400).

64515728688 is an abundant number, since it is smaller than the sum of its proper divisors (114460316112).

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

64515728688 is a wasteful number, since it uses less digits than its factorization.

64515728688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2139 (or 2133 counting only the distinct ones).

The product of its digits is 25804800, while the sum is 60.

The spelling of 64515728688 in words is "sixty-four billion, five hundred fifteen million, seven hundred twenty-eight thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 83 102 136 166 204 249 272 332 408 498 664 739 816 996 1289 1328 1411 1478 1992 2217 2578 2822 2956 3867 3984 4233 4434 5156 5644 5912 7734 8466 8868 10312 11288 11824 12563 15468 16932 17736 20624 21913 22576 25126 30936 33864 35472 37689 43826 50252 61337 61872 65739 67728 75378 87652 100504 106987 122674 131478 150756 175304 184011 201008 213974 245348 262956 301512 320961 350608 368022 427948 490696 525912 603024 641922 736044 855896 952571 981392 1042729 1051824 1283844 1472088 1711792 1818779 1905142 2085458 2567688 2857713 2944176 3128187 3637558 3810284 4170916 5135376 5456337 5715426 6256374 7275116 7620568 8341832 10912674 11430852 12512748 14550232 15241136 16193707 16683664 21825348 22861704 25025496 29100464 32387414 43650696 45723408 48581121 50050992 64774828 79063393 87301392 97162242 129549656 158126786 194324484 237190179 259099312 316253572 388648968 474380358 632507144 777297936 948760716 1265014288 1344077681 1897521432 2688155362 3795042864 4032233043 5376310724 8064466086 10752621448 16128932172 21505242896 32257864344 64515728688