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10245074928 = 2431131261331
BaseRepresentation
bin10011000101010011…
…10110111111110000
3222102222220201201120
421202221312333300
5131440214344203
64412335302240
7511611462054
oct114251667760
928388821646
1010245074928
114388094480
121b9b07a980
13c736c721a
146d2919c64
153ee66cb53
hex262a76ff0

10245074928 has 240 divisors, whose sum is σ = 30414589056. Its totient is φ = 2946240000.

The previous prime is 10245074909. The next prime is 10245074933. The reversal of 10245074928 is 82947054201.

It is a self number, because there is not a number n which added to its sum of digits gives 10245074928.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30951723 + ... + 30952053.

Almost surely, 210245074928 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 10245074928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15207294528).

10245074928 is an abundant number, since it is smaller than the sum of its proper divisors (20169514128).

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

10245074928 is a wasteful number, since it uses less digits than its factorization.

10245074928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 10245074928 in words is "ten billion, two hundred forty-five million, seventy-four thousand, nine hundred twenty-eight".