Search a number
-
+
10604235312 = 24331119257457
BaseRepresentation
bin10011110000000111…
…11100101000110000
31000101000201222011000
421320003330220300
5133204141012222
64512125322000
7523532340636
oct117003745060
930330658130
1010604235312
1145518a5a40
12207b406300
13cccc39a68
147284cd356
15420e659ac
hex2780fca30

10604235312 has 320 divisors, whose sum is σ = 35165606400. Its totient is φ = 3025797120.

The previous prime is 10604235263. The next prime is 10604235319. The reversal of 10604235312 is 21353240601.

10604235312 is a `hidden beast` number, since 1 + 0 + 604 + 2 + 3 + 53 + 1 + 2 = 666.

It is a super-2 number, since 2×106042353122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10604235319) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23203788 + ... + 23204244.

It is an arithmetic number, because the mean of its divisors is an integer number (109892520).

Almost surely, 210604235312 is an apocalyptic number.

10604235312 is a gapful number since it is divisible by the number (12) 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 10604235312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17582803200).

10604235312 is an abundant number, since it is smaller than the sum of its proper divisors (24561371088).

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

10604235312 is a wasteful number, since it uses less digits than its factorization.

10604235312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 10604235312 its reverse (21353240601), we get a palindrome (31957475913).

The spelling of 10604235312 in words is "ten billion, six hundred four million, two hundred thirty-five thousand, three hundred twelve".