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2125536336 = 2433711237157
BaseRepresentation
bin111111010110001…
…0001110001010000
312111010120102201000
41332230101301100
513323114130321
6550525342000
7103446521640
oct17654216120
95433512630
102125536336
119a089aa00
124b3a07900
1327b48c211
14162416520
15c690d826
hex7eb11c50

2125536336 has 480 divisors, whose sum is σ = 7921437440. Its totient is φ = 533744640.

The previous prime is 2125536269. The next prime is 2125536349. The reversal of 2125536336 is 6336355212.

2125536336 is a `hidden beast` number, since 2 + 12 + 5 + 5 + 3 + 633 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (97200) is a multiple of the sum of its prime factors (240).

It is a self number, because there is not a number n which added to its sum of digits gives 2125536336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13538370 + ... + 13538526.

Almost surely, 22125536336 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 2125536336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3960718720).

2125536336 is an abundant number, since it is smaller than the sum of its proper divisors (5795901104).

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

2125536336 is a wasteful number, since it uses less digits than its factorization.

2125536336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 217 counting only the distinct ones).

The product of its digits is 97200, while the sum is 36.

The square root of 2125536336 is about 46103.5393001448. The cubic root of 2125536336 is about 1285.7489486528.

The spelling of 2125536336 in words is "two billion, one hundred twenty-five million, five hundred thirty-six thousand, three hundred thirty-six".