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64012014 = 232111132861
BaseRepresentation
bin1111010000101…
…1111011101110
311110110010222100
43310023323232
5112341341024
610203555530
71405043643
oct364137356
9143403870
1064012014
11331511a0
121952bba6
1310353141
148703dca
1559467c9
hex3d0beee

64012014 has 48 divisors (see below), whose sum is σ = 152693424. Its totient is φ = 19219200.

The previous prime is 64012009. The next prime is 64012033. The reversal of 64012014 is 41021046.

64012014 is a `hidden beast` number, since 640 + 1 + 20 + 1 + 4 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20944 + ... + 23804.

It is an arithmetic number, because the mean of its divisors is an integer number (3181113).

Almost surely, 264012014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64012014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76346712).

64012014 is an abundant number, since it is smaller than the sum of its proper divisors (88681410).

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

64012014 is a wasteful number, since it uses less digits than its factorization.

64012014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2993 (or 2990 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 64012014 is about 8000.7508397650. The cubic root of 64012014 is about 400.0250276007.

The spelling of 64012014 in words is "sixty-four million, twelve thousand, fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 113 198 226 339 678 1017 1243 2034 2486 2861 3729 5722 7458 8583 11187 17166 22374 25749 31471 51498 62942 94413 188826 283239 323293 566478 646586 969879 1939758 2909637 3556223 5819274 7112446 10668669 21337338 32006007 64012014