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13245372576 = 253267798689
BaseRepresentation
bin11000101010111110…
…00101100010100000
31021012002111122100200
430111133011202200
5204111303410301
610030154145200
7646142544402
oct142537054240
937162448320
1013245372576
115687738507
122697a22200
131331184087
148d919cb72
15527c6ec86
hex3157c58a0

13245372576 has 144 divisors (see below), whose sum is σ = 38717078400. Its totient is φ = 4293679104.

The previous prime is 13245372557. The next prime is 13245372577. The reversal of 13245372576 is 67527354231.

13245372576 is a `hidden beast` number, since 1 + 3 + 2 + 4 + 5 + 3 + 72 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (13245372577) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1520040 + ... + 1528728.

It is an arithmetic number, because the mean of its divisors is an integer number (268868600).

Almost surely, 213245372576 is an apocalyptic number.

13245372576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13245372576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19358539200).

13245372576 is an abundant number, since it is smaller than the sum of its proper divisors (25471705824).

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

13245372576 is a wasteful number, since it uses less digits than its factorization.

13245372576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8851 (or 8840 counting only the distinct ones).

The product of its digits is 1058400, while the sum is 45.

The spelling of 13245372576 in words is "thirteen billion, two hundred forty-five million, three hundred seventy-two thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 67 72 79 96 134 144 158 201 237 268 288 316 402 474 536 603 632 711 804 948 1072 1206 1264 1422 1608 1896 2144 2412 2528 2844 3216 3792 4824 5293 5688 6432 7584 8689 9648 10586 11376 15879 17378 19296 21172 22752 26067 31758 34756 42344 47637 52134 63516 69512 78201 84688 95274 104268 127032 139024 156402 169376 190548 208536 254064 278048 312804 381096 417072 508128 582163 625608 686431 762192 834144 1164326 1251216 1372862 1524384 1746489 2059293 2328652 2502432 2745724 3492978 4118586 4657304 5239467 5491448 6177879 6985956 8237172 9314608 10478934 10982896 12355758 13971912 16474344 18629216 20957868 21965792 24711516 27943824 32948688 41915736 45990877 49423032 55887648 65897376 83831472 91981754 98846064 137972631 167662944 183963508 197692128 275945262 367927016 413917893 551890524 735854032 827835786 1103781048 1471708064 1655671572 2207562096 3311343144 4415124192 6622686288 13245372576