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13607528064 = 2731323311699
BaseRepresentation
bin11001010110001001…
…00110011010000000
31022010022222001021220
430223010212122000
5210332011344224
610130132315040
7661131036324
oct145304463200
938108861256
1013607528064
115853105269
122779172a80
13138b204c70
14931311984
1554995a279
hex32b126680

13607528064 has 128 divisors (see below), whose sum is σ = 39095784000. Its totient is φ = 4168605696.

The previous prime is 13607528041. The next prime is 13607528083. The reversal of 13607528064 is 46082570631.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 1157287 + ... + 1168985.

Almost surely, 213607528064 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 13607528064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19547892000).

13607528064 is an abundant number, since it is smaller than the sum of its proper divisors (25488255936).

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

13607528064 is a wasteful number, since it uses less digits than its factorization.

13607528064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11962 (or 11950 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 13607528064 in words is "thirteen billion, six hundred seven million, five hundred twenty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 233 312 384 416 466 624 699 832 932 1248 1398 1664 1864 2496 2796 3029 3728 4992 5592 6058 7456 9087 11184 11699 12116 14912 18174 22368 23398 24232 29824 35097 36348 44736 46796 48464 70194 72696 89472 93592 96928 140388 145392 152087 187184 193856 280776 290784 304174 374368 387712 456261 561552 581568 608348 748736 912522 1123104 1163136 1216696 1497472 1825044 2246208 2433392 2725867 3650088 4492416 4866784 5451734 7300176 8177601 9733568 10903468 14600352 16355202 19467136 21806936 29200704 32710404 35436271 43613872 58401408 65420808 70872542 87227744 106308813 130841616 141745084 174455488 212617626 261683232 283490168 348910976 425235252 523366464 566980336 850470504 1046732928 1133960672 1700941008 2267921344 3401882016 4535842688 6803764032 13607528064