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63144016 = 24132367197
BaseRepresentation
bin1111000011100…
…0000001010000
311101211001022021
43300320001100
5112131102031
610133221224
71364500225
oct360700120
9141731267
1063144016
1132709041
1219191814
131010b030
14855994c
155824511
hex3c38050

63144016 has 80 divisors (see below), whose sum is σ = 140241024. Its totient is φ = 27320832.

The previous prime is 63144013. The next prime is 63144043. The reversal of 63144016 is 61044136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63144013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 320430 + ... + 320626.

Almost surely, 263144016 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 63144016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70120512).

63144016 is an abundant number, since it is smaller than the sum of its proper divisors (77097008).

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

63144016 is a wasteful number, since it uses less digits than its factorization.

63144016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 63144016 is about 7946.3209097041. The cubic root of 63144016 is about 398.2086899961.

The spelling of 63144016 in words is "sixty-three million, one hundred forty-four thousand, sixteen".

Divisors: 1 2 4 8 13 16 23 26 46 52 67 92 104 134 184 197 208 268 299 368 394 536 598 788 871 1072 1196 1541 1576 1742 2392 2561 3082 3152 3484 4531 4784 5122 6164 6968 9062 10244 12328 13199 13936 18124 20033 20488 24656 26398 36248 40066 40976 52796 58903 72496 80132 105592 117806 160264 171587 211184 235612 303577 320528 343174 471224 607154 686348 942448 1214308 1372696 2428616 2745392 3946501 4857232 7893002 15786004 31572008 63144016