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23084835840 = 21033511171947
BaseRepresentation
bin10101011111111101…
…101010010000000000
32012120211012011111000
4111133331222100000
5334234204221330
614334404052000
71445030603253
oct253775522000
965524164430
1023084835840
119876873930
124583094000
13223b8236a1
14118dc9309a
159019bb560
hex55ff6a400

23084835840 has 1408 divisors, whose sum is σ = 101871820800. Its totient is φ = 4883742720.

The previous prime is 23084835833. The next prime is 23084835901. The reversal of 23084835840 is 4853848032.

23084835840 is a `hidden beast` number, since 23 + 0 + 8 + 48 + 3 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 491166697 + ... + 491166743.

Almost surely, 223084835840 is an apocalyptic number.

23084835840 is a gapful number since it is divisible by the number (20) 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 23084835840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50935910400).

23084835840 is an abundant number, since it is smaller than the sum of its proper divisors (78786984960).

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

23084835840 is a wasteful number, since it uses less digits than its factorization.

23084835840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 23084835840 in words is "twenty-three billion, eighty-four million, eight hundred thirty-five thousand, eight hundred forty".