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12280146384 = 24311172233499
BaseRepresentation
bin10110110111111010…
…00010100111010000
31011200211021001221110
423123331002213100
5200122204141014
65350314053320
7613212344022
oct133375024720
934624231843
1012280146384
115231905810
12246871a240
131209200a0c
14846d04012
154bd15bd59
hex2dbf429d0

12280146384 has 240 divisors, whose sum is σ = 38372544000. Its totient is φ = 3349125120.

The previous prime is 12280146379. The next prime is 12280146391. The reversal of 12280146384 is 48364108221.

It is a congruent number.

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, 3507867 + ... + 3511365.

It is an arithmetic number, because the mean of its divisors is an integer number (159885600).

Almost surely, 212280146384 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 12280146384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19186272000).

12280146384 is an abundant number, since it is smaller than the sum of its proper divisors (26092397616).

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

12280146384 is a wasteful number, since it uses less digits than its factorization.

12280146384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3578 (or 3555 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The spelling of 12280146384 in words is "twelve billion, two hundred eighty million, one hundred forty-six thousand, three hundred eighty-four".