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2425701168 = 2434111710009
BaseRepresentation
bin1001000010010101…
…0100001100110000
320021001101101110000
42100211110030300
514431434414133
61040411110000
7114053056032
oct22045241460
96231341400
102425701168
111035277210
12578442300
132c8717047
1419022dc52
15e2e51413
hex90954330

2425701168 has 200 divisors, whose sum is σ = 8110262160. Its totient is φ = 691752960.

The previous prime is 2425701121. The next prime is 2425701181. The reversal of 2425701168 is 8611075242.

2425701168 is a `hidden beast` number, since 2 + 425 + 70 + 1 + 168 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 237348 + ... + 247356.

Almost surely, 22425701168 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 2425701168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4055131080).

2425701168 is an abundant number, since it is smaller than the sum of its proper divisors (5684560992).

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

2425701168 is a wasteful number, since it uses less digits than its factorization.

2425701168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10057 (or 10042 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 2425701168 is about 49251.4077768342. The cubic root of 2425701168 is about 1343.6281656318.

The spelling of 2425701168 in words is "two billion, four hundred twenty-five million, seven hundred one thousand, one hundred sixty-eight".