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10282925835 = 335713231267
BaseRepresentation
bin10011001001110100…
…01111111100001011
3222112122010202102000
421210322033330023
5132024412111320
64420210442043
7512551266420
oct114472177413
928478122360
1010282925835
1143a7497416
121bab893323
13c7b4ba800
146d796dd47
15402b47c90
hex264e8ff0b

10282925835 has 288 divisors, whose sum is σ = 23725232640. Its totient is φ = 4136520960.

The previous prime is 10282925833. The next prime is 10282925839. The reversal of 10282925835 is 53852928201.

It is not a de Polignac number, because 10282925835 - 21 = 10282925833 is a prime.

It is a super-2 number, since 2×102829258352 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (10282925833) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 153476472 + ... + 153476538.

It is an arithmetic number, because the mean of its divisors is an integer number (82379280).

Almost surely, 210282925835 is an apocalyptic number.

10282925835 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10282925835 is an abundant number, since it is smaller than the sum of its proper divisors (13442306805).

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

10282925835 is a wasteful number, since it uses less digits than its factorization.

10282925835 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 10282925835 in words is "ten billion, two hundred eighty-two million, nine hundred twenty-five thousand, eight hundred thirty-five".