Search a number
-
+
200929583035872 = 2533536189808229
BaseRepresentation
bin101101101011111010010000…
…011010111111010111100000
3222100102200101010010001221000
4231223322100122333113200
5202314012241224121442
61551201435352032000
760215453243616165
oct5553722032772740
9870380333101830
10200929583035872
1159027837444919
121a6515ba992600
13881676990c132
143789087d1606c
15183698d7ced4c
hexb6be906bf5e0

200929583035872 has 384 divisors, whose sum is σ = 613710376272000. Its totient is φ = 63909238947840.

The previous prime is 200929583035871. The next prime is 200929583035897. The reversal of 200929583035872 is 278530385929002.

200929583035872 is a `hidden beast` number, since 20 + 0 + 9 + 29 + 5 + 8 + 3 + 0 + 3 + 587 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200929583035871) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 248200654 + ... + 249008882.

It is an arithmetic number, because the mean of its divisors is an integer number (1598204104875).

Almost surely, 2200929583035872 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 200929583035872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306855188136000).

200929583035872 is an abundant number, since it is smaller than the sum of its proper divisors (412780793236128).

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

200929583035872 is a wasteful number, since it uses less digits than its factorization.

200929583035872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808451 (or 808437 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 200929583035872 in words is "two hundred trillion, nine hundred twenty-nine billion, five hundred eighty-three million, thirty-five thousand, eight hundred seventy-two".