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13774769256096 = 253219414312711243
BaseRepresentation
bin1100100001110011000000…
…1110100111011010100000
31210202212002100112200022200
43020130300032213122200
53301141211412143341
645144012554333200
72621123423540322
oct310346016473240
953685070480280
1013774769256096
114430935157122
12166578642a200
1378bc5566b814
143589b94db612
1518d4a78c7db6
hexc87303a76a0

13774769256096 has 576 divisors, whose sum is σ = 43565898055680. Its totient is φ = 4112132935680.

The previous prime is 13774769256043. The next prime is 13774769256097. The reversal of 13774769256096 is 69065296747731.

13774769256096 is a `hidden beast` number, since 1 + 3 + 7 + 7 + 4 + 7 + 6 + 9 + 2 + 5 + 609 + 6 = 666.

It is a super-2 number, since 2×137747692560962 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (13774769256097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1225180651 + ... + 1225191893.

It is an arithmetic number, because the mean of its divisors is an integer number (75635239680).

Almost surely, 213774769256096 is an apocalyptic number.

13774769256096 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 13774769256096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21782949027840).

13774769256096 is an abundant number, since it is smaller than the sum of its proper divisors (29791128799584).

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

13774769256096 is a wasteful number, since it uses less digits than its factorization.

13774769256096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11489 (or 11478 counting only the distinct ones).

The product of its (nonzero) digits is 720135360, while the sum is 72.

The spelling of 13774769256096 in words is "thirteen trillion, seven hundred seventy-four billion, seven hundred sixty-nine million, two hundred fifty-six thousand, ninety-six".