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63069664 = 2572192973
BaseRepresentation
bin1111000010010…
…1110111100000
311101200021022111
43300211313200
5112121212124
610131445104
71364040400
oct360456740
9141607274
1063069664
1132668199
1219156794
13100b3238
14853a800
15580c494
hex3c25de0

63069664 has 144 divisors (see below), whose sum is σ = 159440400. Its totient is φ = 24385536.

The previous prime is 63069659. The next prime is 63069673. The reversal of 63069664 is 46696036.

63069664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 863932 + ... + 864004.

It is an arithmetic number, because the mean of its divisors is an integer number (1107225).

Almost surely, 263069664 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 63069664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79720200).

63069664 is an abundant number, since it is smaller than the sum of its proper divisors (96370736).

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

63069664 is a wasteful number, since it uses less digits than its factorization.

63069664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 40.

The square root of 63069664 is about 7941.6411402178. The cubic root of 63069664 is about 398.0523318644.

The spelling of 63069664 in words is "sixty-three million, sixty-nine thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 19 28 29 32 38 49 56 58 73 76 98 112 116 133 146 152 196 203 224 232 266 292 304 392 406 464 511 532 551 584 608 784 812 928 931 1022 1064 1102 1168 1387 1421 1568 1624 1862 2044 2117 2128 2204 2336 2774 2842 3248 3577 3724 3857 4088 4234 4256 4408 5548 5684 6496 7154 7448 7714 8176 8468 8816 9709 11096 11368 14308 14819 14896 15428 16352 16936 17632 19418 22192 22736 26999 28616 29638 29792 30856 33872 38836 40223 44384 45472 53998 57232 59276 61712 67744 67963 77672 80446 103733 107996 114464 118552 123424 135926 155344 160892 207466 215992 237104 271852 281561 310688 321784 414932 431984 474208 543704 563122 643568 829864 863968 1087408 1126244 1287136 1659728 1970927 2174816 2252488 3319456 3941854 4504976 7883708 9009952 15767416 31534832 63069664