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14992745913600 = 28352721329411031
BaseRepresentation
bin1101101000101100010101…
…0010110101110100000000
31222002021220020111121102220
43122023011102311310000
53431120120423213400
651515323345211040
73105122135365500
oct332130522656400
958067806447386
1014992745913600
11486042a232054
121821840330a80
13849a6b3a3170
1439b91d2d7a00
151aeee08aa7a0
hexda2c54b5d00

14992745913600 has 2592 divisors, whose sum is σ = 65749994231040. Its totient is φ = 2976841728000.

The previous prime is 14992745913581. The next prime is 14992745913611. The reversal of 14992745913600 is 631954729941.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

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 287 ways as a sum of consecutive naturals, for example, 14541945085 + ... + 14541946115.

It is an arithmetic number, because the mean of its divisors is an integer number (25366510120).

Almost surely, 214992745913600 is an apocalyptic number.

14992745913600 is a gapful number since it is divisible by the number (10) 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 14992745913600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32874997115520).

14992745913600 is an abundant number, since it is smaller than the sum of its proper divisors (50757248317440).

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

14992745913600 is a wasteful number, since it uses less digits than its factorization.

14992745913600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 60.

The spelling of 14992745913600 in words is "fourteen trillion, nine hundred ninety-two billion, seven hundred forty-five million, nine hundred thirteen thousand, six hundred".