Search a number
-
+
245565659958480 = 243254397373219223
BaseRepresentation
bin110111110101011100110101…
…111011100100110011010000
31012012110211220001200101200200
4313311130311323210303100
5224141321432422132410
62230135150134215200
7102503350655426421
oct6765346573446320
91165424801611620
10245565659958480
11712768a2187a74
122366032a7b4500
13a703985cb40b4
14448d627133648
151d5cad66cd3c0
hexdf5735ee4cd0

245565659958480 has 480 divisors, whose sum is σ = 854859512322816. Its totient is φ = 63131895300096.

The previous prime is 245565659958457. The next prime is 245565659958527. The reversal of 245565659958480 is 84859956565542.

245565659958480 is a `hidden beast` number, since 2 + 4 + 5 + 5 + 6 + 565 + 9 + 9 + 5 + 8 + 48 + 0 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 245565659958480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1120054149 + ... + 1120273371.

Almost surely, 2245565659958480 is an apocalyptic number.

245565659958480 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 245565659958480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427429756161408).

245565659958480 is an abundant number, since it is smaller than the sum of its proper divisors (609293852364336).

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

245565659958480 is a wasteful number, since it uses less digits than its factorization.

245565659958480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219755 (or 219746 counting only the distinct ones).

The product of its (nonzero) digits is 18662400000, while the sum is 81.

The spelling of 245565659958480 in words is "two hundred forty-five trillion, five hundred sixty-five billion, six hundred fifty-nine million, nine hundred fifty-eight thousand, four hundred eighty".