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8425257120 = 25365717607
BaseRepresentation
bin1111101100010111…
…10011100010100000
3210202011121102000000
413312023303202200
5114223331211440
63512010300000
7415533334560
oct76613634240
923664542000
108425257120
113633924415
121771727600
13a43688957
1459cd64da0
153449ec730
hex1f62f38a0

8425257120 has 672 divisors, whose sum is σ = 36172459008. Its totient is φ = 1809506304.

The previous prime is 8425257107. The next prime is 8425257143. The reversal of 8425257120 is 217525248.

It is a happy number.

8425257120 is a `hidden beast` number, since 8 + 4 + 2 + 525 + 7 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×84252571202 (a number of 21 digits) contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 13879857 + ... + 13880463.

It is an arithmetic number, because the mean of its divisors is an integer number (53828064).

Almost surely, 28425257120 is an apocalyptic number.

8425257120 is a gapful number since it is divisible by the number (80) 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 8425257120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18086229504).

8425257120 is an abundant number, since it is smaller than the sum of its proper divisors (27747201888).

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

8425257120 is a wasteful number, since it uses less digits than its factorization.

8425257120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 8425257120 is about 91789.1993646311. The cubic root of 8425257120 is about 2034.8280753926.

The spelling of 8425257120 in words is "eight billion, four hundred twenty-five million, two hundred fifty-seven thousand, one hundred twenty".