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10451234304 = 29347237139
BaseRepresentation
bin10011011101111000…
…10010111000000000
3222222100211201020000
421232330102320000
5132401003444204
64445022120000
7516664011600
oct115674227000
928870751200
1010451234304
1144834a4025
122038120000
13ca7329c14
14712062c00
154127e2039
hex26ef12e00

10451234304 has 600 divisors, whose sum is σ = 37535956920. Its totient is φ = 2884460544.

The previous prime is 10451234243. The next prime is 10451234317. The reversal of 10451234304 is 40343215401.

It is a happy number.

10451234304 is a `hidden beast` number, since 104 + 5 + 123 + 430 + 4 = 666.

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

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, 75188667 + ... + 75188805.

Almost surely, 210451234304 is an apocalyptic number.

10451234304 is a gapful number since it is divisible by the number (14) 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 10451234304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18767978460).

10451234304 is an abundant number, since it is smaller than the sum of its proper divisors (27084722616).

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

10451234304 is an equidigital number, since it uses as much as digits as its factorization.

10451234304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 10451234304 its reverse (40343215401), we get a palindrome (50794449705).

The spelling of 10451234304 in words is "ten billion, four hundred fifty-one million, two hundred thirty-four thousand, three hundred four".