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2125042128 = 243411236481
BaseRepresentation
bin111111010101001…
…1001000111010000
312111002122022210000
41332222121013100
513323002322003
6550511010000
7103442363046
oct17652310720
95432568700
102125042128
119a0592670
124b3809900
1327b3482a1
14162328396
15c68621a3
hex7ea991d0

2125042128 has 200 divisors, whose sum is σ = 7002426816. Its totient is φ = 615859200.

The previous prime is 2125042103. The next prime is 2125042159. The reversal of 2125042128 is 8212405212.

2125042128 is a `hidden beast` number, since 212 + 5 + 0 + 421 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 324648 + ... + 331128.

Almost surely, 22125042128 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 2125042128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3501213408).

2125042128 is an abundant number, since it is smaller than the sum of its proper divisors (4877384688).

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

2125042128 is a wasteful number, since it uses less digits than its factorization.

2125042128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6535 (or 6520 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 2125042128 is about 46098.1792265161. The cubic root of 2125042128 is about 1285.6492911907.

The spelling of 2125042128 in words is "two billion, one hundred twenty-five million, forty-two thousand, one hundred twenty-eight".