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10425504320 = 2657111724889
BaseRepresentation
bin10011011010110100…
…01001001001000000
3222220120102111022122
421231122021021000
5132322412114240
64442302423412
7516232216220
oct115532111100
928816374278
1010425504320
11446aa1a780
12202b591b68
13ca1bbb68a
1470c886080
1541040d4b5
hex26d689240

10425504320 has 224 divisors, whose sum is σ = 32773559040. Its totient is φ = 3058237440.

The previous prime is 10425504289. The next prime is 10425504389. The reversal of 10425504320 is 2340552401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×104255043202 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10425504320.

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 31 ways as a sum of consecutive naturals, for example, 406436 + ... + 431324.

Almost surely, 210425504320 is an apocalyptic number.

10425504320 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 10425504320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16386779520).

10425504320 is an abundant number, since it is smaller than the sum of its proper divisors (22348054720).

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

10425504320 is a wasteful number, since it uses less digits than its factorization.

10425504320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24941 (or 24931 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The spelling of 10425504320 in words is "ten billion, four hundred twenty-five million, five hundred four thousand, three hundred twenty".