Search a number
-
+
12421921536 = 28341941769
BaseRepresentation
bin10111001000110011…
…10111101100000000
31012001201000222220000
423210121313230000
5200420002442121
65412340520000
7616553406453
oct134431675400
935051028800
1012421921536
1152a493a562
1224a80b0000
13122c6b003b
1485ba8b49a
154ca814526
hex2e4677b00

12421921536 has 360 divisors, whose sum is σ = 39992290800. Its totient is φ = 3822059520.

The previous prime is 12421921529. The next prime is 12421921553. The reversal of 12421921536 is 63512912421.

12421921536 is a `hidden beast` number, since 12 + 4 + 21 + 92 + 1 + 536 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12421921536.

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, 16152960 + ... + 16153728.

Almost surely, 212421921536 is an apocalyptic number.

12421921536 is a gapful number since it is divisible by the number (16) 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 12421921536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19996145400).

12421921536 is an abundant number, since it is smaller than the sum of its proper divisors (27570369264).

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

12421921536 is an equidigital number, since it uses as much as digits as its factorization.

12421921536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 834 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The spelling of 12421921536 in words is "twelve billion, four hundred twenty-one million, nine hundred twenty-one thousand, five hundred thirty-six".