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63468713616 = 243711113151967
BaseRepresentation
bin111011000111000001…
…111011011010010000
320001211020120201021220
4323013001323122100
52014440442313431
645053534445040
74404546110250
oct730701733220
9201736521256
1063468713616
1124a0a485a30
1210373663780
135ca6291159
143101429960
1519b702eb96
hexec707b690

63468713616 has 160 divisors (see below), whose sum is σ = 206229086208. Its totient is φ = 16339384320.

The previous prime is 63468713587. The next prime is 63468713653. The reversal of 63468713616 is 61631786436.

It is a happy number.

63468713616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 341665 + ... + 493631.

Almost surely, 263468713616 is an apocalyptic number.

63468713616 is a gapful number since it is divisible by the number (66) 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 63468713616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103114543104).

63468713616 is an abundant number, since it is smaller than the sum of its proper divisors (142760372592).

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

63468713616 is a wasteful number, since it uses less digits than its factorization.

63468713616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152109 (or 152103 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 51.

The spelling of 63468713616 in words is "sixty-three billion, four hundred sixty-eight million, seven hundred thirteen thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 113 132 154 168 176 226 231 264 308 336 339 452 462 528 616 678 791 904 924 1232 1243 1356 1582 1808 1848 2373 2486 2712 3164 3696 3729 4746 4972 5424 6328 7458 8701 9492 9944 12656 14916 17402 18984 19888 26103 29832 34804 37968 52206 59664 69608 104412 139216 151967 208824 303934 417648 455901 607868 911802 1063769 1215736 1671637 1823604 2127538 2431472 3191307 3343274 3647208 4255076 5014911 6382614 6686548 7294416 8510152 10029822 11701459 12765228 13373096 17020304 17172271 20059644 23402918 25530456 26746192 34344542 35104377 40119288 46805836 51060912 51516813 68689084 70208754 80238576 93611672 103033626 120205897 137378168 140417508 187223344 188894981 206067252 240411794 274756336 280835016 360617691 377789962 412134504 480823588 561670032 566684943 721235382 755579924 824269008 961647176 1133369886 1322264867 1442470764 1511159848 1923294352 2266739772 2644529734 2884941528 3022319696 3966794601 4533479544 5289059468 5769883056 7933589202 9066959088 10578118936 15867178404 21156237872 31734356808 63468713616