Search a number
-
+
230619663500544 = 28322329711464817
BaseRepresentation
bin110100011011111101010011…
…000111110000010100000000
31010020120000122212112012022200
4310123331103013300110000
5220211433032324004134
62134253113312033200
766401502151611003
oct6433752307602400
91106500585465280
10230619663500544
116753428289299a
1221a47776832800
139b8b4580c6046
1440d40a098553a
151b9de30133499
hexd1bf531f0500

230619663500544 has 216 divisors, whose sum is σ = 694077501953472. Its totient is φ = 73506107473920.

The previous prime is 230619663500533. The next prime is 230619663500561. The reversal of 230619663500544 is 445005366916032.

230619663500544 is a `hidden beast` number, since 2 + 3 + 0 + 6 + 1 + 9 + 66 + 35 + 0 + 0 + 544 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 156706824 + ... + 158171640.

Almost surely, 2230619663500544 is an apocalyptic number.

230619663500544 is a gapful number since it is divisible by the number (24) 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 230619663500544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347038750976736).

230619663500544 is an abundant number, since it is smaller than the sum of its proper divisors (463457838452928).

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

230619663500544 is a wasteful number, since it uses less digits than its factorization.

230619663500544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1467833 (or 1467816 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 54.

The spelling of 230619663500544 in words is "two hundred thirty trillion, six hundred nineteen billion, six hundred sixty-three million, five hundred thousand, five hundred forty-four".