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9005124102 = 2313261914347
BaseRepresentation
bin10000110001011111…
…10100101000000110
3212020120201200221220
420120233310220012
5121420302432402
64045323021210
7436104202062
oct103057645006
925216650856
109005124102
113901181027
1218b396a806
13b06855700
14615d8aaa2
1537a88edbc
hex218bf4a06

9005124102 has 48 divisors (see below), whose sum is σ = 19535088960. Its totient is φ = 2766138336.

The previous prime is 9005124097. The next prime is 9005124131. The reversal of 9005124102 is 2014215009.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 620493 + ... + 634839.

It is an arithmetic number, because the mean of its divisors is an integer number (406981020).

Almost surely, 29005124102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9005124102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9767544480).

9005124102 is an abundant number, since it is smaller than the sum of its proper divisors (10529964858).

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

9005124102 is a wasteful number, since it uses less digits than its factorization.

9005124102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14997 (or 14984 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 9005124102 is about 94895.3323509644. The cubic root of 9005124102 is about 2080.4785097008.

The spelling of 9005124102 in words is "nine billion, five million, one hundred twenty-four thousand, one hundred two".

Divisors: 1 2 3 6 13 26 39 78 169 338 507 619 1014 1238 1857 3714 8047 14347 16094 24141 28694 43041 48282 86082 104611 186511 209222 313833 373022 559533 627666 1119066 2424643 4849286 7273929 8880793 14547858 17761586 26642379 53284758 115450309 230900618 346350927 692701854 1500854017 3001708034 4502562051 9005124102