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12143869920 = 2534572131471
BaseRepresentation
bin10110100111101010…
…01011111111100000
31011100022211111210000
423103311023333200
5144332312314140
65325005140000
7606636122400
oct132365137740
934308744700
1012143869920
115171997236
12242ab5a600
1311b6bc8460
14832b8c800
154b11dda30
hex2d3d4bfe0

12143869920 has 720 divisors, whose sum is σ = 53726416128. Its totient is φ = 2560481280.

The previous prime is 12143869901. The next prime is 12143869943. The reversal of 12143869920 is 2996834121.

12143869920 is a `hidden beast` number, since 121 + 438 + 6 + 9 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 8254785 + ... + 8256255.

Almost surely, 212143869920 is an apocalyptic number.

12143869920 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 12143869920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26863208064).

12143869920 is an abundant number, since it is smaller than the sum of its proper divisors (41582546208).

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

12143869920 is a wasteful number, since it uses less digits than its factorization.

12143869920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1525 (or 1501 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 12143869920 in words is "twelve billion, one hundred forty-three million, eight hundred sixty-nine thousand, nine hundred twenty".