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2125282032720 = 24335711217232971
BaseRepresentation
bin11110111011010100101…
…011100011110001010000
321112011201120002112012000
4132323110223203301100
5234310034200021340
64304201401434000
7306355320132540
oct36732453436120
97464646075160
102125282032720
1174a366335300
122a3a8879b900
1312554ab56c92
1474c15511320
153a43ba49d30
hex1eed4ae3c50

2125282032720 has 1920 divisors, whose sum is σ = 10163589488640. Its totient is φ = 397434470400.

The previous prime is 2125282032707. The next prime is 2125282032749. The reversal of 2125282032720 is 272302825212.

2125282032720 is a `hidden beast` number, since 2 + 1 + 252 + 82 + 0 + 327 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 715340835 + ... + 715343805.

It is an arithmetic number, because the mean of its divisors is an integer number (5293536192).

Almost surely, 22125282032720 is an apocalyptic number.

2125282032720 is a gapful number since it is divisible by the number (20) 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 2125282032720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5081794744320).

2125282032720 is an abundant number, since it is smaller than the sum of its proper divisors (8038307455920).

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

2125282032720 is a wasteful number, since it uses less digits than its factorization.

2125282032720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3062 (or 3039 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

Adding to 2125282032720 its reverse (272302825212), we get a palindrome (2397584857932).

The spelling of 2125282032720 in words is "two trillion, one hundred twenty-five billion, two hundred eighty-two million, thirty-two thousand, seven hundred twenty".