Search a number
-
+
200437331080896 = 26357131923671069
BaseRepresentation
bin101101100100101111110011…
…111010110011011011000000
3222021200121210020012211100000
4231210233303322303123000
5202232431123224042041
61550143345544200000
760135055626213210
oct5544576372633300
9867617706184300
10200437331080896
1158957aa4006318
121a592120769000
1387ac20ba58cb0
14376d30bb32240
151828c7cec8bb6
hexb64bf3eb36c0

200437331080896 has 2016 divisors, whose sum is σ = 776747205212160. Its totient is φ = 49897172164608.

The previous prime is 200437331080879. The next prime is 200437331080933. The reversal of 200437331080896 is 698080133734002.

200437331080896 is a `hidden beast` number, since 2 + 0 + 0 + 437 + 33 + 10 + 80 + 8 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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 287 ways as a sum of consecutive naturals, for example, 187499841450 + ... + 187499842518.

Almost surely, 2200437331080896 is an apocalyptic number.

200437331080896 is a gapful number since it is divisible by the number (26) 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 200437331080896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388373602606080).

200437331080896 is an abundant number, since it is smaller than the sum of its proper divisors (576309874131264).

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

200437331080896 is a wasteful number, since it uses less digits than its factorization.

200437331080896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1521 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 200437331080896 in words is "two hundred trillion, four hundred thirty-seven billion, three hundred thirty-one million, eighty thousand, eight hundred ninety-six".