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68563664 = 24133759151
BaseRepresentation
bin1000001011000…
…11001011010000
311210000101122222
410011203023100
5120023014124
610445320212
71461532031
oct405431320
9153011588
1068563664
113577a994
121ab66068
1311287b20
14916aa88
15604525e
hex41632d0

68563664 has 80 divisors (see below), whose sum is σ = 150407040. Its totient is φ = 30067200.

The previous prime is 68563657. The next prime is 68563673. The reversal of 68563664 is 46636586.

It is a super-2 number, since 2×685636642 = 9401952042209792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 453989 + ... + 454139.

It is an arithmetic number, because the mean of its divisors is an integer number (1880088).

Almost surely, 268563664 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 68563664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75203520).

68563664 is an abundant number, since it is smaller than the sum of its proper divisors (81843376).

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

68563664 is a wasteful number, since it uses less digits than its factorization.

68563664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 262 counting only the distinct ones).

The product of its digits is 622080, while the sum is 44.

The square root of 68563664 is about 8280.3178682947. The cubic root of 68563664 is about 409.2901936403.

The spelling of 68563664 in words is "sixty-eight million, five hundred sixty-three thousand, six hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 37 52 59 74 104 118 148 151 208 236 296 302 472 481 592 604 767 944 962 1208 1534 1924 1963 2183 2416 3068 3848 3926 4366 5587 6136 7696 7852 8732 8909 11174 12272 15704 17464 17818 22348 28379 31408 34928 35636 44696 56758 71272 72631 89392 113516 115817 142544 145262 227032 231634 290524 329633 454064 463268 581048 659266 926536 1162096 1318532 1853072 2637064 4285229 5274128 8570458 17140916 34281832 68563664