Search a number
-
+
200934933504 = 2103192409443
BaseRepresentation
bin1011101100100010100…
…1111100010000000000
3201012122111112020011020
42323020221330100000
511243003320333004
6232150324545440
720342232516444
oct2731051742000
9635574466136
10200934933504
1178241593618
1232b38852280
1315c42c27276
149a22332824
1553605a18d9
hex2ec8a7c400

200934933504 has 264 divisors, whose sum is σ = 567897081120. Its totient is φ = 63155109888.

The previous prime is 200934933503. The next prime is 200934933527. The reversal of 200934933504 is 405339439002.

It is not an unprimeable number, because it can be changed into a prime (200934933503) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 453577507 + ... + 453577949.

Almost surely, 2200934933504 is an apocalyptic number.

200934933504 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 200934933504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283948540560).

200934933504 is an abundant number, since it is smaller than the sum of its proper divisors (366962147616).

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

200934933504 is a wasteful number, since it uses less digits than its factorization.

200934933504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 42.

The spelling of 200934933504 in words is "two hundred billion, nine hundred thirty-four million, nine hundred thirty-three thousand, five hundred four".