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2130594508224 = 263472132311601
BaseRepresentation
bin11111000000010001010…
…101000010110111000000
321112200102210110020120000
4133000101111002313000
5234401424143230344
64310440454320000
7306634055336400
oct37002125026700
97480383406500
102130594508224
11751642067826
122a4b0b959000
13125bb6660c00
147519acb2800
153a64d126a69
hex1f011542dc0

2130594508224 has 1260 divisors, whose sum is σ = 8217269425728. Its totient is φ = 543449088000.

The previous prime is 2130594508219. The next prime is 2130594508247. The reversal of 2130594508224 is 4228054950312.

2130594508224 is a `hidden beast` number, since 2 + 1 + 3 + 0 + 594 + 50 + 8 + 2 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2130594508224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1330789024 + ... + 1330790624.

Almost surely, 22130594508224 is an apocalyptic number.

2130594508224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2130594508224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4108634712864).

2130594508224 is an abundant number, since it is smaller than the sum of its proper divisors (6086674917504).

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

2130594508224 is a wasteful number, since it uses less digits than its factorization.

2130594508224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1696 (or 1657 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 2130594508224 in words is "two trillion, one hundred thirty billion, five hundred ninety-four million, five hundred eight thousand, two hundred twenty-four".