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63112014 = 23371031621
BaseRepresentation
bin1111000011000…
…0001101001110
311101202102102000
43300300031032
5112124041024
610132413130
71364305020
oct360601516
9141672360
1063112014
1132696a99
12191771a6
13100c95b4
14854c010
155819cc9
hex3c3034e

63112014 has 64 divisors (see below), whose sum is σ = 161940480. Its totient is φ = 17845920.

The previous prime is 63111991. The next prime is 63112037. The reversal of 63112014 is 41021136.

It is a happy number.

63112014 is a `hidden beast` number, since 631 + 1 + 20 + 14 = 666.

It is an interprime number because it is at equal distance from previous prime (63111991) and next prime (63112037).

It is a super-2 number, since 2×631120142 = 7966252622272392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 38124 + ... + 39744.

It is an arithmetic number, because the mean of its divisors is an integer number (2530320).

Almost surely, 263112014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63112014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80970240).

63112014 is an abundant number, since it is smaller than the sum of its proper divisors (98828466).

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

63112014 is a wasteful number, since it uses less digits than its factorization.

63112014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1742 (or 1736 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 63112014 is about 7944.3070182364. The cubic root of 63112014 is about 398.1414066188.

The spelling of 63112014 in words is "sixty-three million, one hundred twelve thousand, fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 103 126 189 206 309 378 618 721 927 1442 1621 1854 2163 2781 3242 4326 4863 5562 6489 9726 11347 12978 14589 19467 22694 29178 34041 38934 43767 68082 87534 102123 166963 204246 306369 333926 500889 612738 1001778 1168741 1502667 2337482 3005334 3506223 4508001 7012446 9016002 10518669 21037338 31556007 63112014