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14949476640 = 25355731959
BaseRepresentation
bin11011110110000111…
…01110100100100000
31102120212002002200000
431323003232210200
5221104031223030
610511231100000
71036314312000
oct157303564440
942525062600
1014949476640
11638165407a
122a92671600
131543239687
14a1b632000
155c7684860
hex37b0ee920

14949476640 has 1152 divisors, whose sum is σ = 66044160000. Its totient is φ = 3182312448.

The previous prime is 14949476627. The next prime is 14949476653. The reversal of 14949476640 is 4667494941.

14949476640 is a `hidden beast` number, since 1 + 49 + 494 + 76 + 6 + 40 = 666.

14949476640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14949476627) and next prime (14949476653).

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

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 191 ways as a sum of consecutive naturals, for example, 253380931 + ... + 253380989.

It is an arithmetic number, because the mean of its divisors is an integer number (57330000).

Almost surely, 214949476640 is an apocalyptic number.

14949476640 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 14949476640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33022080000).

14949476640 is an abundant number, since it is smaller than the sum of its proper divisors (51094683360).

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

14949476640 is an equidigital number, since it uses as much as digits as its factorization.

14949476640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 14949476640 in words is "fourteen billion, nine hundred forty-nine million, four hundred seventy-six thousand, six hundred forty".