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12280713984 = 2832721122931
BaseRepresentation
bin10110110111111110…
…01101001100000000
31011200212022220112200
423123333031030000
5200122330321414
65350334153200
7613220226600
oct133377151400
934625286480
1012280713984
115232163200
122468952800
13120936c186
14847010c00
154bd220109
hex2dbfcd300

12280713984 has 972 divisors, whose sum is σ = 48346159680. Its totient is φ = 2980454400.

The previous prime is 12280713961. The next prime is 12280714021. The reversal of 12280713984 is 48931708221.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 396152049 + ... + 396152079.

Almost surely, 212280713984 is an apocalyptic number.

12280713984 is a gapful number since it is divisible by the number (14) 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 12280713984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24173079840).

12280713984 is an abundant number, since it is smaller than the sum of its proper divisors (36065445696).

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

12280713984 is a wasteful number, since it uses less digits than its factorization.

12280713984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 12280713984 in words is "twelve billion, two hundred eighty million, seven hundred thirteen thousand, nine hundred eighty-four".