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10425106944 = 2934735911
BaseRepresentation
bin10011011010110001…
…01000001000000000
3222220112200022020000
421231120220020000
5132322311410234
64442250120000
7516225642540
oct115530501000
928815608200
1010425106944
11446a77916a
12202b420000
13ca1aac845
1470c7c1320
15410380899
hex26d628200

10425106944 has 200 divisors, whose sum is σ = 35562360768. Its totient is φ = 2978519040.

The previous prime is 10425106933. The next prime is 10425106961. The reversal of 10425106944 is 44960152401.

10425106944 is a `hidden beast` number, since 1 + 0 + 42 + 510 + 69 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10425106899 and 10425106908.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 272349 + ... + 308259.

Almost surely, 210425106944 is an apocalyptic number.

10425106944 is a gapful number since it is divisible by the number (14) 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 10425106944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17781180384).

10425106944 is an abundant number, since it is smaller than the sum of its proper divisors (25137253824).

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

10425106944 is an frugal number, since it uses more digits than its factorization.

10425106944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35948 (or 35923 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 10425106944 in words is "ten billion, four hundred twenty-five million, one hundred six thousand, nine hundred forty-four".