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10455230304 = 2533372511303
BaseRepresentation
bin10011011110010111…
…00010011101100000
3222222122100201201000
421233023202131200
5132403014332204
64445243512000
7520042664001
oct115713423540
928878321630
1010455230304
114485783302
122039528600
13ca80c8a0c
147127c31a8
15412d31039
hex26f2e2760

10455230304 has 192 divisors, whose sum is σ = 31467502080. Its totient is φ = 3374784000.

The previous prime is 10455230293. The next prime is 10455230353. The reversal of 10455230304 is 40303255401.

10455230304 is a `hidden beast` number, since 104 + 5 + 523 + 0 + 30 + 4 = 666.

10455230304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8023317 + ... + 8024619.

It is an arithmetic number, because the mean of its divisors is an integer number (163893240).

Almost surely, 210455230304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10455230304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15733751040).

10455230304 is an abundant number, since it is smaller than the sum of its proper divisors (21012271776).

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

10455230304 is a wasteful number, since it uses less digits than its factorization.

10455230304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1610 (or 1596 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 10455230304 its reverse (40303255401), we get a palindrome (50758485705).

The spelling of 10455230304 in words is "ten billion, four hundred fifty-five million, two hundred thirty thousand, three hundred four".