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10425590440 = 235794932789
BaseRepresentation
bin10011011010110100…
…11110001010101000
3222220120120212110021
421231122132022220
5132322422343230
64442304330224
7516233025256
oct115532361250
928816525407
1010425590440
11446aa79451
12202b613974
13ca1c1b935
1470c8a95d6
15410428c7a
hex26d69e2a8

10425590440 has 32 divisors (see below), whose sum is σ = 23461245000. Its totient is φ = 4169584384.

The previous prime is 10425590437. The next prime is 10425590447. The reversal of 10425590440 is 4409552401.

10425590440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 8214521956 + 2211068484 = 90634^2 + 47022^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10425590396 and 10425590405.

It is not an unprimeable number, because it can be changed into a prime (10425590447) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 301566 + ... + 334354.

Almost surely, 210425590440 is an apocalyptic number.

10425590440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10425590440 is an abundant number, since it is smaller than the sum of its proper divisors (13035654560).

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

10425590440 is a wasteful number, since it uses less digits than its factorization.

10425590440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40749 (or 40745 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The spelling of 10425590440 in words is "ten billion, four hundred twenty-five million, five hundred ninety thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 7949 15898 31796 32789 39745 63592 65578 79490 131156 158980 163945 262312 317960 327890 655780 1311560 260639761 521279522 1042559044 1303198805 2085118088 2606397610 5212795220 10425590440