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13526333968 = 247317144983
BaseRepresentation
bin11001001100011101…
…10111101000010000
31021220200011221221011
430212032313220100
5210200220141333
610114112140304
7656123641000
oct144616675020
937820157834
1013526333968
115811298a04
122755b37694
131377447214
14924618000
1554276c9cd
hex3263b7a10

13526333968 has 80 divisors (see below), whose sum is σ = 32360428800. Its totient is φ = 5455962624.

The previous prime is 13526333929. The next prime is 13526333981. The reversal of 13526333968 is 86933362531.

It is a super-2 number, since 2×135263339682 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

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, 20805 + ... + 165787.

It is an arithmetic number, because the mean of its divisors is an integer number (404505360).

Almost surely, 213526333968 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 13526333968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16180214400).

13526333968 is an abundant number, since it is smaller than the sum of its proper divisors (18834094832).

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

13526333968 is a wasteful number, since it uses less digits than its factorization.

13526333968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145029 (or 145009 counting only the distinct ones).

The product of its digits is 2099520, while the sum is 49.

The spelling of 13526333968 in words is "thirteen billion, five hundred twenty-six million, three hundred thirty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 34 49 56 68 98 112 119 136 196 238 272 343 392 476 686 784 833 952 1372 1666 1904 2744 3332 5488 5831 6664 11662 13328 23324 46648 93296 144983 289966 579932 1014881 1159864 2029762 2319728 2464711 4059524 4929422 7104167 8119048 9858844 14208334 16238096 17252977 19717688 28416668 34505954 39435376 49729169 56833336 69011908 99458338 113666672 120770839 138023816 198916676 241541678 276047632 397833352 483083356 795666704 845395873 966166712 1690791746 1932333424 3381583492 6763166984 13526333968