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23409352512 = 2635721317139
BaseRepresentation
bin10101110011010011…
…100101111101000000
32020102102211022200000
4111303103211331000
5340420243240022
614430515400000
71456051133100
oct256323457500
966372738600
1023409352512
119a22a73027
1246538b3000
132290b266a0
1411c1009200
1592021e6ac
hex5734e5f40

23409352512 has 1008 divisors, whose sum is σ = 92962658880. Its totient is φ = 5768921088.

The previous prime is 23409352489. The next prime is 23409352531. The reversal of 23409352512 is 21525390432.

23409352512 is a `hidden beast` number, since 2 + 3 + 4 + 0 + 93 + 52 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 168412539 + ... + 168412677.

It is an arithmetic number, because the mean of its divisors is an integer number (92224860).

Almost surely, 223409352512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23409352512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46481329440).

23409352512 is an abundant number, since it is smaller than the sum of its proper divisors (69553306368).

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

23409352512 is a wasteful number, since it uses less digits than its factorization.

23409352512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 23409352512 in words is "twenty-three billion, four hundred nine million, three hundred fifty-two thousand, five hundred twelve".