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63107616 = 25311134597
BaseRepresentation
bin1111000010111…
…1001000100000
311101202012101010
43300233020200
5112123420431
610132340520
71364256135
oct360571040
9141665333
1063107616
1132693760
1219174740
13100c75b0
14854a58c
155818846
hex3c2f220

63107616 has 96 divisors (see below), whose sum is σ = 194660928. Its totient is φ = 17648640.

The previous prime is 63107593. The next prime is 63107623. The reversal of 63107616 is 61670136.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11430 + ... + 16026.

It is an arithmetic number, because the mean of its divisors is an integer number (2027718).

Almost surely, 263107616 is an apocalyptic number.

63107616 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 63107616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97330464).

63107616 is an abundant number, since it is smaller than the sum of its proper divisors (131553312).

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

63107616 is a wasteful number, since it uses less digits than its factorization.

63107616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4634 (or 4626 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 63107616 is about 7944.0302114229. The cubic root of 63107616 is about 398.1321581600.

The spelling of 63107616 in words is "sixty-three million, one hundred seven thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 66 78 88 96 104 132 143 156 176 208 264 286 312 352 416 429 528 572 624 858 1056 1144 1248 1716 2288 3432 4576 4597 6864 9194 13728 13791 18388 27582 36776 50567 55164 59761 73552 101134 110328 119522 147104 151701 179283 202268 220656 239044 303402 358566 404536 441312 478088 606804 657371 717132 809072 956176 1213608 1314742 1434264 1618144 1912352 1972113 2427216 2629484 2868528 3944226 4854432 5258968 5737056 7888452 10517936 15776904 21035872 31553808 63107616