Search a number
-
+
200056352929920 = 27335591034494243
BaseRepresentation
bin101101011111001100111111…
…110110011111100010000000
3222020100012102012121111201000
4231133030333312133202000
5202210210402322224140
61545252341512212000
760065410631315034
oct5537147766374200
9866305365544630
10200056352929920
1158820471852703
121a53031799a000
138782305268326
143758ac9d941c4
15181ddd1533a30
hexb5f33fd9f880

200056352929920 has 1024 divisors, whose sum is σ = 729329702400000. Its totient is φ = 51807103746048.

The previous prime is 200056352929889. The next prime is 200056352929931. The reversal of 200056352929920 is 29929253650002.

200056352929920 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 5 + 6 + 3 + 529 + 2 + 99 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 47149739319 + ... + 47149743561.

It is an arithmetic number, because the mean of its divisors is an integer number (712236037500).

Almost surely, 2200056352929920 is an apocalyptic number.

200056352929920 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 200056352929920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364664851200000).

200056352929920 is an abundant number, since it is smaller than the sum of its proper divisors (529273349470080).

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

200056352929920 is a wasteful number, since it uses less digits than its factorization.

200056352929920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4882 (or 4864 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 200056352929920 in words is "two hundred trillion, fifty-six billion, three hundred fifty-two million, nine hundred twenty-nine thousand, nine hundred twenty".