Search a number
-
+
12800099520 = 263451337987
BaseRepresentation
bin10111110101111001…
…00000010011000000
31020001001122102120000
423322330200103000
5202203311141040
65514050320000
7632125023255
oct137274402300
936031572500
1012800099520
11547936024a
122592889000
13128cb50ab0
14895db142c
154edb17130
hex2faf204c0

12800099520 has 280 divisors, whose sum is σ = 49035974064. Its totient is φ = 3150710784.

The previous prime is 12800099491. The next prime is 12800099537. The reversal of 12800099520 is 2599000821.

12800099520 is a `hidden beast` number, since 128 + 0 + 0 + 0 + 9 + 9 + 520 = 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 39 ways as a sum of consecutive naturals, for example, 317967 + ... + 355953.

Almost surely, 212800099520 is an apocalyptic number.

12800099520 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 12800099520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24517987032).

12800099520 is an abundant number, since it is smaller than the sum of its proper divisors (36235874544).

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

12800099520 is a wasteful number, since it uses less digits than its factorization.

12800099520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38029 (or 38010 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 12800099520 in words is "twelve billion, eight hundred million, ninety-nine thousand, five hundred twenty".