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10937041056 = 253231243919
BaseRepresentation
bin10100010111110011…
…00000000010100000
31001020012222020210200
422023321200002200
5134344340303211
65005134425200
7535013213034
oct121371400240
931205866720
1010937041056
114702746907
122152962200
131053b82936
1475a7a21c4
154402a4b56
hex28be600a0

10937041056 has 216 divisors, whose sum is σ = 32921048160. Its totient is φ = 3442279680.

The previous prime is 10937041039. The next prime is 10937041067. The reversal of 10937041056 is 65014073901.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10937041056.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11900565 + ... + 11901483.

It is an arithmetic number, because the mean of its divisors is an integer number (152412260).

Almost surely, 210937041056 is an apocalyptic number.

10937041056 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 10937041056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16460524080).

10937041056 is an abundant number, since it is smaller than the sum of its proper divisors (21984007104).

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

10937041056 is a wasteful number, since it uses less digits than its factorization.

10937041056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1040 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

It can be divided in two parts, 109370 and 41056, that added together give a triangular number (150426 = T548).

The spelling of 10937041056 in words is "ten billion, nine hundred thirty-seven million, forty-one thousand, fifty-six".