Search a number
-
+
12401793360 = 2434511215817
BaseRepresentation
bin10111000110011010…
…00101100101010000
31012000022011101020000
423203031011211100
5200344324341420
65410341250000
7616220334645
oct134315054520
935008141200
1012401793360
115294541a00
1224a1403900
131228483488
1485912bdcc
154c8b8a690
hex2e3345950

12401793360 has 300 divisors, whose sum is σ = 47347987764. Its totient is φ = 3006305280.

The previous prime is 12401793337. The next prime is 12401793409. The reversal of 12401793360 is 6339710421.

12401793360 is a `hidden beast` number, since 124 + 0 + 179 + 3 + 360 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8080571664 + 4321221696 = 89892^2 + 65736^2 .

It is a super-3 number, since 3×124017933603 (a number of 31 digits) contains 333 as substring.

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 polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 776172 + ... + 791988.

Almost surely, 212401793360 is an apocalyptic number.

12401793360 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 12401793360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23673993882).

12401793360 is an abundant number, since it is smaller than the sum of its proper divisors (34946194404).

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

12401793360 is a wasteful number, since it uses less digits than its factorization.

12401793360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15864 (or 15838 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 12401793360 in words is "twelve billion, four hundred one million, seven hundred ninety-three thousand, three hundred sixty".