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10425089640 = 23357791271237
BaseRepresentation
bin10011011010110001…
…00011111001101000
3222220112122102111010
421231120203321220
5132322310332030
64442245503520
7516225541230
oct115530437150
928815572433
1010425089640
11446a767169
12202b411ba0
13ca1aa49c4
1470c7b8cc0
1541037a6b0
hex26d623e68

10425089640 has 256 divisors, whose sum is σ = 36510105600. Its totient is φ = 2332302336.

The previous prime is 10425089617. The next prime is 10425089657. The reversal of 10425089640 is 4698052401.

10425089640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 63 ways as a sum of consecutive naturals, for example, 8427102 + ... + 8428338.

It is an arithmetic number, because the mean of its divisors is an integer number (142617600).

Almost surely, 210425089640 is an apocalyptic number.

10425089640 is a gapful number since it is divisible by the number (10) 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 10425089640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18255052800).

10425089640 is an abundant number, since it is smaller than the sum of its proper divisors (26085015960).

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

10425089640 is a wasteful number, since it uses less digits than its factorization.

10425089640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1464 (or 1460 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 10425089640 in words is "ten billion, four hundred twenty-five million, eighty-nine thousand, six hundred forty".