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234011746368 = 26321793316857
BaseRepresentation
bin1101100111110000101…
…1111110000001000000
3211101000200101102022100
43121330023332001000
512313224001340433
6255300431510400
722623013011261
oct3317413760100
9741020342270
10234011746368
11902755916a4
123942a088400
13190b488939a
14b47d25a968
156149393b13
hex367c2fe040

234011746368 has 168 divisors, whose sum is σ = 676636066080. Its totient is φ = 77322516480.

The previous prime is 234011746363. The next prime is 234011746393. The reversal of 234011746368 is 863647110432.

234011746368 is a `hidden beast` number, since 2 + 3 + 4 + 0 + 1 + 1 + 7 + 4 + 636 + 8 = 666.

It is a super-2 number, since 2×2340117463682 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (234011746363) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34123996 + ... + 34130852.

Almost surely, 2234011746368 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 234011746368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338318033040).

234011746368 is an abundant number, since it is smaller than the sum of its proper divisors (442624319712).

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

234011746368 is a wasteful number, since it uses less digits than its factorization.

234011746368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7385 (or 7372 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 234011746368 in words is "two hundred thirty-four billion, eleven million, seven hundred forty-six thousand, three hundred sixty-eight".