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12340815552 = 26321319127683
BaseRepresentation
bin10110111111001000…
…11110011011000000
31011212001102101101200
423133210132123000
5200233222044202
65400322301200
7614550126042
oct133744363300
934761371350
1012340815552
11526308341a
122484ab7800
131218953430
14850db7a92
154c3642e1c
hex2df91e6c0

12340815552 has 336 divisors, whose sum is σ = 40473538560. Its totient is φ = 3563771904.

The previous prime is 12340815523. The next prime is 12340815583. The reversal of 12340815552 is 25551804321.

12340815552 is a `hidden beast` number, since 1 + 23 + 4 + 0 + 81 + 5 + 552 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18068203 + ... + 18068885.

It is an arithmetic number, because the mean of its divisors is an integer number (120456960).

Almost surely, 212340815552 is an apocalyptic number.

12340815552 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 12340815552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20236769280).

12340815552 is an abundant number, since it is smaller than the sum of its proper divisors (28132723008).

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

12340815552 is a wasteful number, since it uses less digits than its factorization.

12340815552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 12340815552 in words is "twelve billion, three hundred forty million, eight hundred fifteen thousand, five hundred fifty-two".