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12034970784 = 25323183109149
BaseRepresentation
bin10110011010101011…
…10001010010100000
31011001201220212020200
423031111301102200
5144121423031114
65310115105200
7604144364244
oct131525612240
934051825220
1012034970784
115116477751
1223ba5a2200
13119a48a1b5
14822522424
154a687c409
hex2cd5714a0

12034970784 has 288 divisors, whose sum is σ = 36324288000. Its totient is φ = 3774781440.

The previous prime is 12034970771. The next prime is 12034970807. The reversal of 12034970784 is 48707943021.

It is a tau number, because it is divible by the number of its divisors (288).

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, 80771542 + ... + 80771690.

It is an arithmetic number, because the mean of its divisors is an integer number (126126000).

Almost surely, 212034970784 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 12034970784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18162144000).

12034970784 is an abundant number, since it is smaller than the sum of its proper divisors (24289317216).

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

12034970784 is a wasteful number, since it uses less digits than its factorization.

12034970784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 12034970784 in words is "twelve billion, thirty-four million, nine hundred seventy thousand, seven hundred eighty-four".