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12162433920 = 2735713151461
BaseRepresentation
bin10110101001111000…
…00000001110000000
31011101121202122210120
423110330000032000
5144402040341140
65330511100240
7610252661010
oct132474001600
934347678716
1012162433920
11518141668a
122435211680
1311ba9c8080
14835421c40
154b2b591d0
hex2d4f00380

12162433920 has 512 divisors, whose sum is σ = 48134338560. Its totient is φ = 2543616000.

The previous prime is 12162433909. The next prime is 12162433931. The reversal of 12162433920 is 2933426121.

It is an interprime number because it is at equal distance from previous prime (12162433909) and next prime (12162433931).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26382490 + ... + 26382950.

It is an arithmetic number, because the mean of its divisors is an integer number (94012380).

Almost surely, 212162433920 is an apocalyptic number.

12162433920 is a gapful number since it is divisible by the number (10) 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 12162433920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24067169280).

12162433920 is an abundant number, since it is smaller than the sum of its proper divisors (35971904640).

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

12162433920 is a wasteful number, since it uses less digits than its factorization.

12162433920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The spelling of 12162433920 in words is "twelve billion, one hundred sixty-two million, four hundred thirty-three thousand, nine hundred twenty".