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64631016 = 23324771269
BaseRepresentation
bin1111011010001…
…1000011101000
311111121121002100
43312203003220
5113021143031
610225133400
71413232422
oct366430350
9144547070
1064631016
113353426a
121978a260
131050bb08
148825812
155a19de6
hex3da30e8

64631016 has 96 divisors (see below), whose sum is σ = 181958400. Its totient is φ = 20711040.

The previous prime is 64630987. The next prime is 64631029. The reversal of 64631016 is 61013646.

64631016 is a `hidden beast` number, since 646 + 3 + 1 + 0 + 16 = 666.

64631016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 240130 + ... + 240398.

It is an arithmetic number, because the mean of its divisors is an integer number (1895400).

Almost surely, 264631016 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 64631016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90979200).

64631016 is an abundant number, since it is smaller than the sum of its proper divisors (117327384).

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

64631016 is a wasteful number, since it uses less digits than its factorization.

64631016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 64631016 is about 8039.3417640998. The cubic root of 64631016 is about 401.3103196358.

The spelling of 64631016 in words is "sixty-four million, six hundred thirty-one thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 71 72 94 141 142 188 213 269 282 284 376 423 426 538 564 568 639 807 846 852 1076 1128 1278 1614 1692 1704 2152 2421 2556 3228 3337 3384 4842 5112 6456 6674 9684 10011 12643 13348 19099 19368 20022 25286 26696 30033 37929 38198 40044 50572 57297 60066 75858 76396 80088 101144 113787 114594 120132 151716 152792 171891 227574 229188 240264 303432 343782 455148 458376 687564 897653 910296 1375128 1795306 2692959 3590612 5385918 7181224 8078877 10771836 16157754 21543672 32315508 64631016