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230758104528 = 2434724498093
BaseRepresentation
bin1101011011101001000…
…0010011110111010000
3211001121221002021210000
43112322100103313100
512240043033321103
6254001523010000
722446254345100
oct3267220236720
9731557067700
10230758104528
1189955a303a6
1238880509900
13189b6788923
14b2510ab200
1560088ebaa3
hex35ba413dd0

230758104528 has 300 divisors, whose sum is σ = 778749236100. Its totient is φ = 65775919104.

The previous prime is 230758104509. The next prime is 230758104529. The reversal of 230758104528 is 825401857032.

230758104528 is a `hidden beast` number, since 2 + 3 + 0 + 7 + 581 + 0 + 45 + 28 = 666.

230758104528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 121112352144 + 109645752384 = 348012^2 + 331128^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230758104529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 28509250 + ... + 28517342.

It is an arithmetic number, because the mean of its divisors is an integer number (2595830787).

Almost surely, 2230758104528 is an apocalyptic number.

230758104528 is a gapful number since it is divisible by the number (28) 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 230758104528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389374618050).

230758104528 is an abundant number, since it is smaller than the sum of its proper divisors (547991131572).

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

230758104528 is a wasteful number, since it uses less digits than its factorization.

230758104528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8576 (or 8554 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 230758104528 in words is "two hundred thirty billion, seven hundred fifty-eight million, one hundred four thousand, five hundred twenty-eight".