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9255705030 = 233511213193137
BaseRepresentation
bin10001001111010111…
…01101100111000110
3212220001020112101000
420213223231213012
5122423430030110
64130233514130
7445236123525
oct104753554706
925801215330
109255705030
113a1a671200
121963872946
13b4673c650
1463b3784bc
1539288b1c0
hex227aed9c6

9255705030 has 768 divisors, whose sum is σ = 32604364800. Its totient is φ = 1847577600.

The previous prime is 9255705007. The next prime is 9255705059. The reversal of 9255705030 is 305075529.

9255705030 is a `hidden beast` number, since 9 + 2 + 5 + 570 + 50 + 30 = 666.

It is a Curzon number.

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 383 ways as a sum of consecutive naturals, for example, 250154172 + ... + 250154208.

It is an arithmetic number, because the mean of its divisors is an integer number (42453600).

Almost surely, 29255705030 is an apocalyptic number.

9255705030 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 9255705030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16302182400).

9255705030 is an abundant number, since it is smaller than the sum of its proper divisors (23348659770).

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

9255705030 is a wasteful number, since it uses less digits than its factorization.

9255705030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 47250, while the sum is 36.

The square root of 9255705030 is about 96206.5747753240. The cubic root of 9255705030 is about 2099.5996992099.

The spelling of 9255705030 in words is "nine billion, two hundred fifty-five million, seven hundred five thousand, thirty".