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14996160000 = 29325441127
BaseRepresentation
bin11011111011101011…
…10011111000000000
31102201002220212012100
431331311303320000
5221203004110000
610520015430400
71040422154043
oct157565637000
942632825170
1014996160000
1163a5a39a68
122aa6225400
13154cb03273
14a23904c5a
155cb806a00
hex37dd73e00

14996160000 has 600 divisors, whose sum is σ = 55837926144. Its totient is φ = 3870720000.

The previous prime is 14996159999. The next prime is 14996160013. The reversal of 14996160000 is 6169941.

14996160000 is a `hidden beast` number, since 1 + 49 + 9 + 6 + 1 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 59 ways as a sum of consecutive naturals, for example, 118079937 + ... + 118080063.

Almost surely, 214996160000 is an apocalyptic number.

14996160000 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 14996160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27918963072).

14996160000 is an abundant number, since it is smaller than the sum of its proper divisors (40841766144).

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

14996160000 is an equidigital number, since it uses as much as digits as its factorization.

14996160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 14996160000 in words is "fourteen billion, nine hundred ninety-six million, one hundred sixty thousand".