Search a number
-
+
12581373816 = 23331124159199
BaseRepresentation
bin10111011011110100…
…01000011101111000
31012110211002000022000
423231322020131320
5201231312430231
65440234301000
7623530625064
oct135572103570
935424060260
1012581373816
115376948400
122531587760
13125673b3bb
14874d16aa4
154d980e6e6
hex2ede88778

12581373816 has 384 divisors, whose sum is σ = 40219200000. Its totient is φ = 3638131200.

The previous prime is 12581373809. The next prime is 12581373829. The reversal of 12581373816 is 61837318521.

It is a happy number.

12581373816 is a `hidden beast` number, since 1 + 2 + 581 + 37 + 38 + 1 + 6 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (241920) is a multiple of the sum of its prime divisors (315).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 63222885 + ... + 63223083.

It is an arithmetic number, because the mean of its divisors is an integer number (104737500).

Almost surely, 212581373816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12581373816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20109600000).

12581373816 is an abundant number, since it is smaller than the sum of its proper divisors (27637826184).

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

12581373816 is a wasteful number, since it uses less digits than its factorization.

12581373816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 315 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The spelling of 12581373816 in words is "twelve billion, five hundred eighty-one million, three hundred seventy-three thousand, eight hundred sixteen".