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13530718525744 = 2478091049142357
BaseRepresentation
bin1100010011100101110110…
…1010111101100100110000
31202220112011001001000220201
43010321131222331210300
53233141402420310434
644435532024244544
72564363550550120
oct304713552754460
952815131030821
1013530718525744
114347388954252
121626416310754
13771c30cc5a34
1434ac66c90c80
15186e72025614
hexc4e5dabd930

13530718525744 has 80 divisors (see below), whose sum is σ = 30026718792000. Its totient is φ = 5786149588992.

The previous prime is 13530718525733. The next prime is 13530718525747. The reversal of 13530718525744 is 44752581703531.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (13530718525747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94976614 + ... + 95118970.

It is an arithmetic number, because the mean of its divisors is an integer number (375333984900).

Almost surely, 213530718525744 is an apocalyptic number.

13530718525744 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13530718525744 is an abundant number, since it is smaller than the sum of its proper divisors (16496000266256).

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

13530718525744 is a wasteful number, since it uses less digits than its factorization.

13530718525744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144230 (or 144224 counting only the distinct ones).

The product of its (nonzero) digits is 14112000, while the sum is 55.

The spelling of 13530718525744 in words is "thirteen trillion, five hundred thirty billion, seven hundred eighteen million, five hundred twenty-five thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 809 1049 1618 2098 3236 4196 5663 6472 7343 8392 11326 12944 14686 16784 22652 29372 45304 58744 90608 117488 142357 284714 569428 848641 996499 1138856 1697282 1992998 2277712 3394564 3985996 5940487 6789128 7971992 11880974 13578256 15943984 23761948 47523896 95047792 115166813 149332493 230333626 298664986 460667252 597329972 806167691 921334504 1045327451 1194659944 1612335382 1842669008 2090654902 2389319888 3224670764 4181309804 6449341528 8362619608 12898683056 16725239216 120809986837 241619973674 483239947348 845669907859 966479894696 1691339815718 1932959789392 3382679631436 6765359262872 13530718525744