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180234600448 = 214722343227
BaseRepresentation
bin1010011111011011010…
…0011100000000000000
3122020012212012100120011
42213312310130000000
510423110024203243
6214444300554304
716010244553300
oct2476664340000
9566185170504
10180234600448
116a489807a51
122ab20252994
1313cc4424796
148a1b027600
154a4d0e989d
hex29f6d1c000

180234600448 has 360 divisors, whose sum is σ = 449686968192. Its totient is φ = 71848820736.

The previous prime is 180234600443. The next prime is 180234600463. The reversal of 180234600448 is 844006432081.

It is a happy number.

180234600448 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1802346004482 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 180234600448.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180234600443) 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, 793984911 + ... + 793985137.

Almost surely, 2180234600448 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 180234600448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224843484096).

180234600448 is an abundant number, since it is smaller than the sum of its proper divisors (269452367744).

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

180234600448 is an equidigital number, since it uses as much as digits as its factorization.

180234600448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The spelling of 180234600448 in words is "one hundred eighty billion, two hundred thirty-four million, six hundred thousand, four hundred forty-eight".