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13522500453504 = 2737101159731189
BaseRepresentation
bin1100010011000111001111…
…0101100000010010000000
31202212201221022021201010210
43010301303311200102000
53233023040104003004
644432052334354120
72563653111232620
oct304616365402200
952781838251123
1013522500453504
114343950a7aa09
12162490205b940
1377122153b7b3
1434a6c765c880
15186b40801089
hexc4c73d60480

13522500453504 has 256 divisors, whose sum is σ = 41484177158400. Its totient is φ = 3822800486400.

The previous prime is 13522500453491. The next prime is 13522500453541. The reversal of 13522500453504 is 40535400522531.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 433550742 + ... + 433581930.

It is an arithmetic number, because the mean of its divisors is an integer number (162047567025).

Almost surely, 213522500453504 is an apocalyptic number.

13522500453504 is a gapful number since it is divisible by the number (14) 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 13522500453504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20742088579200).

13522500453504 is an abundant number, since it is smaller than the sum of its proper divisors (27961676704896).

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

13522500453504 is a wasteful number, since it uses less digits than its factorization.

13522500453504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32911 (or 32899 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 39.

The spelling of 13522500453504 in words is "thirteen trillion, five hundred twenty-two billion, five hundred million, four hundred fifty-three thousand, five hundred four".