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2125158768 = 243447139251
BaseRepresentation
bin111111010101011…
…0101100101110000
312111002212020210000
41332222311211300
513323020040033
6550513310000
7103443360105
oct17652654560
95432766700
102125158768
119a0662267
124b3865300
1327b3893c5
14162358aac
15c6886a13
hex7eab5970

2125158768 has 200 divisors, whose sum is σ = 6352093440. Its totient is φ = 685584000.

The previous prime is 2125158767. The next prime is 2125158769. The reversal of 2125158768 is 8678515212.

2125158768 is a `hidden beast` number, since 2 + 1 + 2 + 5 + 1 + 587 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (2125158767) and next prime (2125158769).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2125158767) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8466643 + ... + 8466893.

Almost surely, 22125158768 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 2125158768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3176046720).

2125158768 is an abundant number, since it is smaller than the sum of its proper divisors (4226934672).

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

2125158768 is a wasteful number, since it uses less digits than its factorization.

2125158768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 442 counting only the distinct ones).

The product of its digits is 268800, while the sum is 45.

The square root of 2125158768 is about 46099.4443350459. Note that the first 3 decimals coincide. The cubic root of 2125158768 is about 1285.6728131384.

The spelling of 2125158768 in words is "two billion, one hundred twenty-five million, one hundred fifty-eight thousand, seven hundred sixty-eight".