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63014016 = 273132971
BaseRepresentation
bin1111000001100…
…0010010000000
311101120102222110
43300120102000
5112112422031
610130335320
71363416222
oct360302200
9141512873
1063014016
113262a3aa
121912a540
1310093b00
148524412
1557eac46
hex3c18480

63014016 has 96 divisors (see below), whose sum is σ = 181433520. Its totient is φ = 19368960.

The previous prime is 63014009. The next prime is 63014027. The reversal of 63014016 is 61041036.

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

It is a junction number, because it is equal to n+sod(n) for n = 63013983 and 63014001.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64411 + ... + 65381.

Almost surely, 263014016 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 63014016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90716760).

63014016 is an abundant number, since it is smaller than the sum of its proper divisors (118419504).

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

63014016 is a wasteful number, since it uses less digits than its factorization.

63014016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1014 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 63014016 is about 7938.1368091007. The cubic root of 63014016 is about 397.9352267846.

The spelling of 63014016 in words is "sixty-three million, fourteen thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 169 192 208 312 338 384 416 507 624 676 832 971 1014 1248 1352 1664 1942 2028 2496 2704 2913 3884 4056 4992 5408 5826 7768 8112 10816 11652 12623 15536 16224 21632 23304 25246 31072 32448 37869 46608 50492 62144 64896 75738 93216 100984 124288 151476 164099 186432 201968 302952 328198 372864 403936 492297 605904 656396 807872 984594 1211808 1312792 1615744 1969188 2423616 2625584 3938376 4847232 5251168 7876752 10502336 15753504 21004672 31507008 63014016