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10794043008 = 273272434447
BaseRepresentation
bin10100000110110000…
…00000011010000000
31000212020220012100200
422003120000122000
5134101233334013
64543025445200
7531325565100
oct120330003200
930766805320
1010794043008
114639a57301
122112aa0800
131030365ac8
147457bb200
15432959e73
hex283600680

10794043008 has 288 divisors, whose sum is σ = 36980760960. Its totient is φ = 3011613696.

The previous prime is 10794043003. The next prime is 10794043009. The reversal of 10794043008 is 80034049701.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×107940430082 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10794043003) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2425041 + ... + 2429487.

It is an arithmetic number, because the mean of its divisors is an integer number (128405420).

Almost surely, 210794043008 is an apocalyptic number.

10794043008 is a gapful number since it is divisible by the number (18) 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 10794043008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18490380480).

10794043008 is an abundant number, since it is smaller than the sum of its proper divisors (26186717952).

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

10794043008 is a wasteful number, since it uses less digits than its factorization.

10794043008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4524 (or 4502 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 10794043008 in words is "ten billion, seven hundred ninety-four million, forty-three thousand, eight".