Search a number
-
+
206699039352 = 233413197611697
BaseRepresentation
bin1100000010000000111…
…0010000101001111000
3201202112012201010220000
43000200032100221320
511341304423224402
6234542313433000
720635123562661
oct3004016205170
9652465633800
10206699039352
117a72a245663
123408710b760
131665117bca0
14a00ba98368
15559b63ec1c
hex3020390a78

206699039352 has 320 divisors, whose sum is σ = 657547783200. Its totient is φ = 60137717760.

The previous prime is 206699039317. The next prime is 206699039353. The reversal of 206699039352 is 253930996602.

It is a super-3 number, since 3×2066990393523 (a number of 35 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206699039353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 121801768 + ... + 121803464.

Almost surely, 2206699039352 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 206699039352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328773891600).

206699039352 is an abundant number, since it is smaller than the sum of its proper divisors (450848743848).

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

206699039352 is a wasteful number, since it uses less digits than its factorization.

206699039352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2508 (or 2495 counting only the distinct ones).

The product of its (nonzero) digits is 4723920, while the sum is 54.

The spelling of 206699039352 in words is "two hundred six billion, six hundred ninety-nine million, thirty-nine thousand, three hundred fifty-two".