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23434935552 = 2836717939
BaseRepresentation
bin10101110100110101…
…001011110100000000
32020111012222002000000
4111310311023310000
5340443320414202
614433232000000
71456511444160
oct256465136400
966435862000
1023434935552
119a36456a36
124660390000
132296213092
1411c45885a0
159225c491c
hex574d4bd00

23434935552 has 252 divisors, whose sum is σ = 80159220960. Its totient is φ = 6695322624.

The previous prime is 23434935551. The next prime is 23434935571. The reversal of 23434935552 is 25553943432.

23434935552 is a `hidden beast` number, since 2 + 3 + 4 + 3 + 4 + 93 + 5 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a junction number, because it is equal to n+sod(n) for n = 23434935498 and 23434935507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23434935551) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1297399 + ... + 1315337.

Almost surely, 223434935552 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 23434935552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40079610480).

23434935552 is an abundant number, since it is smaller than the sum of its proper divisors (56724285408).

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

23434935552 is an frugal number, since it uses more digits than its factorization.

23434935552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17980 (or 17951 counting only the distinct ones).

The product of its digits is 1944000, while the sum is 45.

The spelling of 23434935552 in words is "twenty-three billion, four hundred thirty-four million, nine hundred thirty-five thousand, five hundred fifty-two".