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13791701087136 = 25367313318231
BaseRepresentation
bin1100100010110010000101…
…1100011011001110100000
31210211110210100202211000000
43020230201130123032200
53301430400434242021
645155453042300000
72622263131662240
oct310544134331640
953743710684000
1013791701087136
114438033795415
121668b10957600
137907234b495b
14359744113b20
1518db490d6b26
hexc8b2171b3a0

13791701087136 has 672 divisors, whose sum is σ = 48177484701696. Its totient is φ = 3801390912000.

The previous prime is 13791701087111. The next prime is 13791701087141. The reversal of 13791701087136 is 63178010719731.

13791701087136 is a `hidden beast` number, since 1 + 379 + 1 + 70 + 108 + 71 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×137917010871362 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 111 ways as a sum of consecutive naturals, for example, 1675576141 + ... + 1675584371.

It is an arithmetic number, because the mean of its divisors is an integer number (71692685568).

Almost surely, 213791701087136 is an apocalyptic number.

13791701087136 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 13791701087136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24088742350848).

13791701087136 is an abundant number, since it is smaller than the sum of its proper divisors (34385783614560).

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

13791701087136 is an equidigital number, since it uses as much as digits as its factorization.

13791701087136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8628 (or 8605 counting only the distinct ones).

The product of its (nonzero) digits is 1333584, while the sum is 54.

The spelling of 13791701087136 in words is "thirteen trillion, seven hundred ninety-one billion, seven hundred one million, eighty-seven thousand, one hundred thirty-six".