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12092909472 = 2533717117617
BaseRepresentation
bin10110100001100101…
…10010011110100000
31011012202221110012000
423100302302132200
5144231241100342
65315545004000
7605450014560
oct132062623640
934182843160
1012092909472
11514614a966
122415a83600
1311a9494b47
1482a0c4da0
154ab9c444c
hex2d0cb27a0

12092909472 has 192 divisors, whose sum is σ = 42681219840. Its totient is φ = 3251847168.

The previous prime is 12092909471. The next prime is 12092909497. The reversal of 12092909472 is 27490929021.

12092909472 is a `hidden beast` number, since 1 + 2 + 0 + 92 + 90 + 9 + 472 = 666.

It is not an unprimeable number, because it can be changed into a prime (12092909471) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44008 + ... + 161624.

It is an arithmetic number, because the mean of its divisors is an integer number (222298020).

Almost surely, 212092909472 is an apocalyptic number.

12092909472 is a gapful number since it is divisible by the number (12) 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 12092909472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21340609920).

12092909472 is an abundant number, since it is smaller than the sum of its proper divisors (30588310368).

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

12092909472 is a wasteful number, since it uses less digits than its factorization.

12092909472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117660 (or 117646 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 12092909472 in words is "twelve billion, ninety-two million, nine hundred nine thousand, four hundred seventy-two".