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1368812390400 = 2113652713231
BaseRepresentation
bin10011111010110011100…
…100111000100000000000
311211212010220000002000000
4103322303210320200000
5134411311432443100
62524453532000000
7200615306226360
oct23726344704000
94755126002000
101368812390400
11488567a00624
121a1350600000
139c103498200
144a3725789a0
1525915146900
hex13eb3938800

1368812390400 has 3024 divisors, whose sum is σ = 6500201460480. Its totient is φ = 279488102400.

The previous prime is 1368812390383. The next prime is 1368812390423. The reversal of 1368812390400 is 40932188631.

1368812390400 is a `hidden beast` number, since 1 + 3 + 6 + 8 + 8 + 1 + 239 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

It is a super-2 number, since 2×13688123904002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 251 ways as a sum of consecutive naturals, for example, 44155238385 + ... + 44155238415.

It is an arithmetic number, because the mean of its divisors is an integer number (2149537520).

Almost surely, 21368812390400 is an apocalyptic number.

1368812390400 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 1368812390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3250100730240).

1368812390400 is an abundant number, since it is smaller than the sum of its proper divisors (5131389070080).

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

1368812390400 is an equidigital number, since it uses as much as digits as its factorization.

1368812390400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 1368812390400 in words is "one trillion, three hundred sixty-eight billion, eight hundred twelve million, three hundred ninety thousand, four hundred".