Search a number
-
+
200032169521536 = 273611296839839
BaseRepresentation
bin101101011110110110011110…
…011010000111000110000000
3222020020212222211021002000000
4231132312132122013012000
5202204311340344142121
61545233302102000000
760063563430612162
oct5536663632070600
9866225884232000
10200032169521536
1158811191959a90
121a5276a8a16000
13877cc4cc73921
143757874254932
15181d4683b4526
hexb5ed9e687180

200032169521536 has 896 divisors, whose sum is σ = 675326890944000. Its totient is φ = 58433979985920.

The previous prime is 200032169521529. The next prime is 200032169521543. The reversal of 200032169521536 is 635125961230002.

200032169521536 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 3 + 2 + 1 + 6 + 95 + 21 + 536 = 666.

200032169521536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (200032169521529) and next prime (200032169521543).

It is a junction number, because it is equal to n+sod(n) for n = 200032169521491 and 200032169521500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 20330533705 + ... + 20330543543.

Almost surely, 2200032169521536 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 200032169521536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337663445472000).

200032169521536 is an abundant number, since it is smaller than the sum of its proper divisors (475294721422464).

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

200032169521536 is an equidigital number, since it uses as much as digits as its factorization.

200032169521536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10594 (or 10567 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 200032169521536 in words is "two hundred trillion, thirty-two billion, one hundred sixty-nine million, five hundred twenty-one thousand, five hundred thirty-six".