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234528621012 = 2232721729614421
BaseRepresentation
bin1101101001101011111…
…1101100000111010100
3211102100200222101000200
43122122333230013110
512320303311333022
6255424014140500
722641560246400
oct3323277540724
9742320871020
10234528621012
1190510324224
12395531b1730
131916799c17a
14b4cbb66100
156179941bac
hex369afec1d4

234528621012 has 432 divisors, whose sum is σ = 767927880720. Its totient is φ = 59880038400.

The previous prime is 234528620981. The next prime is 234528621031. The reversal of 234528621012 is 210126825432.

234528621012 is a `hidden beast` number, since 2 + 3 + 4 + 5 + 28 + 621 + 0 + 1 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 346183236 + 234182437776 = 18606^2 + 483924^2 .

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, 53046562 + ... + 53050982.

It is an arithmetic number, because the mean of its divisors is an integer number (1777610835).

Almost surely, 2234528621012 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 234528621012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383963940360).

234528621012 is an abundant number, since it is smaller than the sum of its proper divisors (533399259708).

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

234528621012 is a wasteful number, since it uses less digits than its factorization.

234528621012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4552 (or 4540 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 234528621012 in words is "two hundred thirty-four billion, five hundred twenty-eight million, six hundred twenty-one thousand, twelve".