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230792739840 = 2103251317131173
BaseRepresentation
bin1101011011110001010…
…0011011110000000000
3211001201100020221111100
43112330110123300000
512240130420133330
6254005201214400
722450154630505
oct3267424336000
9731640227440
10230792739840
1189973537423
1238890031400
13189c09c46b0
14b2559254ac
15600b98e060
hex35bc51bc00

230792739840 has 1056 divisors, whose sum is σ = 924136589376. Its totient is φ = 52753858560.

The previous prime is 230792739811. The next prime is 230792739847. The reversal of 230792739840 is 48937297032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230792739847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1334061994 + ... + 1334062166.

It is an arithmetic number, because the mean of its divisors is an integer number (875129346).

Almost surely, 2230792739840 is an apocalyptic number.

230792739840 is a gapful number since it is divisible by the number (20) 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 230792739840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462068294688).

230792739840 is an abundant number, since it is smaller than the sum of its proper divisors (693343849536).

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

230792739840 is a wasteful number, since it uses less digits than its factorization.

230792739840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 230792739840 in words is "two hundred thirty billion, seven hundred ninety-two million, seven hundred thirty-nine thousand, eight hundred forty".