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12373892640 = 2533510327809
BaseRepresentation
bin10111000011000101…
…01001111000100000
31011221100122212122000
423201202221320200
5200320204031030
65403503244000
7615431231514
oct134142517040
934840585560
1012373892640
11527a81575a
122493ba9600
131222764b85
14855548144
154c64c8860
hex2e18a9e20

12373892640 has 192 divisors, whose sum is σ = 43730668800. Its totient is φ = 3267551232.

The previous prime is 12373892623. The next prime is 12373892677. The reversal of 12373892640 is 4629837321.

12373892640 is a `hidden beast` number, since 1 + 2 + 3 + 7 + 389 + 264 + 0 = 666.

It is a super-2 number, since 2×123738926402 (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 431056 + ... + 458864.

It is an arithmetic number, because the mean of its divisors is an integer number (227763900).

Almost surely, 212373892640 is an apocalyptic number.

12373892640 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 12373892640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21865334400).

12373892640 is an abundant number, since it is smaller than the sum of its proper divisors (31356776160).

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

12373892640 is a wasteful number, since it uses less digits than its factorization.

12373892640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27936 (or 27922 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 12373892640 in words is "twelve billion, three hundred seventy-three million, eight hundred ninety-two thousand, six hundred forty".