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64130664 = 2331317107113
BaseRepresentation
bin1111010010100…
…0111001101000
311110200011201210
43310220321220
5112404140124
610210313120
71406046603
oct364507150
9143604653
1064130664
1133222354
12195887a0
1310395150
14873533a
15596ba29
hex3d28e68

64130664 has 128 divisors (see below), whose sum is σ = 186157440. Its totient is φ = 18235392.

The previous prime is 64130639. The next prime is 64130711. The reversal of 64130664 is 46603146.

64130664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×641306642 = 8225484130161792, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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 31 ways as a sum of consecutive naturals, for example, 567472 + ... + 567584.

It is an arithmetic number, because the mean of its divisors is an integer number (1454355).

Almost surely, 264130664 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 64130664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93078720).

64130664 is an abundant number, since it is smaller than the sum of its proper divisors (122026776).

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

64130664 is a wasteful number, since it uses less digits than its factorization.

64130664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 64130664 is about 8008.1623360169. The cubic root of 64130664 is about 400.2720316217.

The spelling of 64130664 in words is "sixty-four million, one hundred thirty thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 68 78 102 104 107 113 136 156 204 214 221 226 312 321 339 408 428 442 452 642 663 678 856 884 904 1284 1326 1356 1391 1469 1768 1819 1921 2568 2652 2712 2782 2938 3638 3842 4173 4407 5304 5457 5564 5763 5876 7276 7684 8346 8814 10914 11128 11526 11752 12091 14552 15368 16692 17628 21828 23052 23647 24182 24973 33384 35256 36273 43656 46104 47294 48364 49946 70941 72546 74919 94588 96728 99892 141882 145092 149838 157183 189176 199784 205547 283764 290184 299676 314366 411094 471549 567528 599352 616641 628732 822188 943098 1233282 1257464 1644376 1886196 2466564 2672111 3772392 4933128 5344222 8016333 10688444 16032666 21376888 32065332 64130664