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12323927520 = 2533526310847
BaseRepresentation
bin10110111101001000…
…00011010111100000
31011210212122101101000
423132210003113200
5200214411140040
65354520312000
7614253440562
oct133644032740
934725571330
1012323927520
115254599173
12247b312600
1312152bc608
1484ca5d332
154c1e09130
hex2de9035e0

12323927520 has 192 divisors, whose sum is σ = 43301744640. Its totient is φ = 3273583104.

The previous prime is 12323927513. The next prime is 12323927549. The reversal of 12323927520 is 2572932321.

It is a happy number.

12323927520 is a `hidden beast` number, since 1 + 23 + 23 + 92 + 7 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 1130737 + ... + 1141583.

It is an arithmetic number, because the mean of its divisors is an integer number (225529920).

Almost surely, 212323927520 is an apocalyptic number.

12323927520 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 12323927520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21650872320).

12323927520 is an abundant number, since it is smaller than the sum of its proper divisors (30977817120).

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

12323927520 is a wasteful number, since it uses less digits than its factorization.

12323927520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11134 (or 11120 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 12323927520 in words is "twelve billion, three hundred twenty-three million, nine hundred twenty-seven thousand, five hundred twenty".