Search a number
-
+
200638965098880 = 273457211217194347
BaseRepresentation
bin101101100111101011100110…
…001111100010100110000000
3222022101220020110012020010000
4231213223212033202212000
5202244232100031131010
61550420133525040000
760155454411122100
oct5547534617424600
9868356213166100
10200638965098880
1158a25564173400
121a605213556000
1387c52337619c9
143778d98c41200
15182e12eb1b7c0
hexb67ae63e2980

200638965098880 has 11520 divisors, whose sum is σ = 1067086713369600. Its totient is φ = 35536553902080.

The previous prime is 200638965098857. The next prime is 200638965098893. The reversal of 200638965098880 is 88890569836002.

200638965098880 is a `hidden beast` number, since 2 + 0 + 0 + 6 + 38 + 9 + 6 + 509 + 8 + 8 + 80 = 666.

200638965098880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 200638965098799 and 200638965098808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1439 ways as a sum of consecutive naturals, for example, 4268914151017 + ... + 4268914151063.

It is an arithmetic number, because the mean of its divisors is an integer number (92629054980).

Almost surely, 2200638965098880 is an apocalyptic number.

200638965098880 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 200638965098880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533543356684800).

200638965098880 is an abundant number, since it is smaller than the sum of its proper divisors (866447748270720).

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

200638965098880 is a wasteful number, since it uses less digits than its factorization.

200638965098880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 358318080, while the sum is 72.

The spelling of 200638965098880 in words is "two hundred trillion, six hundred thirty-eight billion, nine hundred sixty-five million, ninety-eight thousand, eight hundred eighty".