Search a number
-
+
200289525059520 = 2635513296832201
BaseRepresentation
bin101101100010100110001001…
…111111100100111111000000
3222021011111021101002222100000
4231202212021333210333000
5202223020421403401040
61545551423152200000
760121304100602121
oct5542461177447700
9867144241088300
10200289525059520
11589003463a4846
121a569550839000
13879b2b4bb0550
1437660c98d2048
151824ecbd27130
hexb62989fe4fc0

200289525059520 has 672 divisors, whose sum is σ = 795914365821120. Its totient is φ = 47601959731200.

The previous prime is 200289525059497. The next prime is 200289525059539. The reversal of 200289525059520 is 25950525982002.

200289525059520 is a `hidden beast` number, since 2 + 0 + 0 + 2 + 8 + 9 + 5 + 25 + 0 + 595 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 25899420 + ... + 32731620.

It is an arithmetic number, because the mean of its divisors is an integer number (1184396377710).

Almost surely, 2200289525059520 is an apocalyptic number.

200289525059520 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 200289525059520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397957182910560).

200289525059520 is an abundant number, since it is smaller than the sum of its proper divisors (595624840761600).

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

200289525059520 is a wasteful number, since it uses less digits than its factorization.

200289525059520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6832275 (or 6832253 counting only the distinct ones).

The product of its (nonzero) digits is 6480000, while the sum is 54.

The spelling of 200289525059520 in words is "two hundred trillion, two hundred eighty-nine billion, five hundred twenty-five million, fifty-nine thousand, five hundred twenty".