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1425646656 = 26347172311
BaseRepresentation
bin101010011111001…
…1010010001000000
310200100121100120000
41110332122101000
510404431143111
6353244320000
750220540150
oct12476322100
93610540500
101425646656
11671816485
12339543000
1319948b105
14d74aa760
158525dc56
hex54f9a440

1425646656 has 280 divisors, whose sum is σ = 5116104576. Its totient is φ = 383201280.

The previous prime is 1425646603. The next prime is 1425646687. The reversal of 1425646656 is 6566465241.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 615741 + ... + 618051.

Almost surely, 21425646656 is an apocalyptic number.

1425646656 is a gapful number since it is divisible by the number (16) 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 1425646656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2558052288).

1425646656 is an abundant number, since it is smaller than the sum of its proper divisors (3690457920).

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

1425646656 is a wasteful number, since it uses less digits than its factorization.

1425646656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2359 (or 2340 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The square root of 1425646656 is about 37757.7363728283. The cubic root of 1425646656 is about 1125.4787509023.

The spelling of 1425646656 in words is "one billion, four hundred twenty-five million, six hundred forty-six thousand, six hundred fifty-six".