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14485054408704 = 2113211372338287
BaseRepresentation
bin1101001011001001000010…
…0001011100100000000000
31220021202110100100222000200
43102302100201130200000
53344310342412034304
650450201522245200
73023340102656445
oct322622041344000
956252410328020
1014485054408704
114685093653140
12175b3734b6800
13810c1c8c5979
1438111a7919cc
151a1bc98b7e39
hexd2c9085c800

14485054408704 has 576 divisors, whose sum is σ = 47079051102720. Its totient is φ = 4251935047680.

The previous prime is 14485054408661. The next prime is 14485054408723. The reversal of 14485054408704 is 40780445058441.

14485054408704 is a `hidden beast` number, since 1 + 4 + 48 + 50 + 544 + 0 + 8 + 7 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1747920849 + ... + 1747929135.

It is an arithmetic number, because the mean of its divisors is an integer number (81734463720).

Almost surely, 214485054408704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14485054408704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23539525551360).

14485054408704 is an abundant number, since it is smaller than the sum of its proper divisors (32593996694016).

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

14485054408704 is a wasteful number, since it uses less digits than its factorization.

14485054408704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8596 (or 8573 counting only the distinct ones).

The product of its (nonzero) digits is 11468800, while the sum is 54.

The spelling of 14485054408704 in words is "fourteen trillion, four hundred eighty-five billion, fifty-four million, four hundred eight thousand, seven hundred four".