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10925509056 = 263711312769
BaseRepresentation
bin10100010110011011…
…00000100111000000
31001012102021100212120
422023031200213000
5134333412242211
65004043324240
7534513203040
oct121315404700
931172240776
1010925509056
1146a718a730
12214ab20680
131051675977
1475903d720
1543e277d06
hex28b3609c0

10925509056 has 336 divisors, whose sum is σ = 37288500480. Its totient is φ = 2742681600.

The previous prime is 10925509043. The next prime is 10925509061. The reversal of 10925509056 is 65090552901.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×109255090562 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 10925508999 and 10925509017.

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 47 ways as a sum of consecutive naturals, for example, 14207040 + ... + 14207808.

It is an arithmetic number, because the mean of its divisors is an integer number (110977680).

Almost surely, 210925509056 is an apocalyptic number.

10925509056 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 10925509056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18644250240).

10925509056 is an abundant number, since it is smaller than the sum of its proper divisors (26362991424).

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

10925509056 is a wasteful number, since it uses less digits than its factorization.

10925509056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 121500, while the sum is 42.

The spelling of 10925509056 in words is "ten billion, nine hundred twenty-five million, five hundred nine thousand, fifty-six".