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10904041296 = 243223291071061
BaseRepresentation
bin10100010011110111…
…00111011101010000
31001010220212200122100
422021323213131100
5134312413310141
65001555240400
7534132551601
oct121173473520
931126780570
1010904041296
114696057685
1221438a9100
13104a09a455
14756251da8
1543c4370b6
hex289ee7750

10904041296 has 240 divisors, whose sum is σ = 33280191360. Its totient is φ = 3322260480.

The previous prime is 10904041289. The next prime is 10904041301. The reversal of 10904041296 is 69214040901.

It is a happy number.

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 10904041296.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10276606 + ... + 10277666.

It is an arithmetic number, because the mean of its divisors is an integer number (138667464).

Almost surely, 210904041296 is an apocalyptic number.

10904041296 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 10904041296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16640095680).

10904041296 is an abundant number, since it is smaller than the sum of its proper divisors (22376150064).

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

10904041296 is a wasteful number, since it uses less digits than its factorization.

10904041296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1234 (or 1225 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 10904041296 in words is "ten billion, nine hundred four million, forty-one thousand, two hundred ninety-six".