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12386350080 = 21032513232931
BaseRepresentation
bin10111000100100100…
…01011010000000000
31011222020002210000200
423202102023100000
5200331401200310
65405030245200
7615642144546
oct134222132000
934866083020
1012386350080
115286854165
1224981b6800
131225207140
1485706bd96
154c76399c0
hex2e248b400

12386350080 has 1056 divisors, whose sum is σ = 51501864960. Its totient is φ = 2724986880.

The previous prime is 12386350073. The next prime is 12386350139. The reversal of 12386350080 is 8005368321.

12386350080 is a `hidden beast` number, since 12 + 3 + 8 + 63 + 500 + 80 = 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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 399559665 + ... + 399559695.

Almost surely, 212386350080 is an apocalyptic number.

12386350080 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 12386350080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25750932480).

12386350080 is an abundant number, since it is smaller than the sum of its proper divisors (39115514880).

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

12386350080 is a wasteful number, since it uses less digits than its factorization.

12386350080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 12386350080 in words is "twelve billion, three hundred eighty-six million, three hundred fifty thousand, eighty".