Search a number
-
+
207165311136 = 25327102760571
BaseRepresentation
bin1100000011110000000…
…0111100100010100000
3201210201201002012112100
43000330000330202200
511343233304424021
6235100451330400
720652515042640
oct3007400744240
9653651065470
10207165311136
117a949465543
12341972b0a00
13166c6955154
14a053990520
1555c7544626
hex303c03c8a0

207165311136 has 72 divisors (see below), whose sum is σ = 673287267744. Its totient is φ = 59190088320.

The previous prime is 207165311117. The next prime is 207165311149. The reversal of 207165311136 is 631113561702.

207165311136 is a `hidden beast` number, since 2 + 0 + 7 + 1 + 6 + 531 + 113 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×2071653111362 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 207165311136.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 51378270 + ... + 51382301.

It is an arithmetic number, because the mean of its divisors is an integer number (9351212052).

Almost surely, 2207165311136 is an apocalyptic number.

It is an amenable number.

207165311136 is an abundant number, since it is smaller than the sum of its proper divisors (466121956608).

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

207165311136 is a wasteful number, since it uses less digits than its factorization.

207165311136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102760594 (or 102760583 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

Adding to 207165311136 its reverse (631113561702), we get a palindrome (838278872838).

The spelling of 207165311136 in words is "two hundred seven billion, one hundred sixty-five million, three hundred eleven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 102760571 205521142 308281713 411042284 616563426 719323997 822084568 924845139 1233126852 1438647994 1644169136 1849690278 2157971991 2466253704 2877295988 3288338272 3699380556 4315943982 4932507408 5754591976 6473915973 7398761112 8631887964 9865014816 11509183952 12947831946 14797522224 17263775928 23018367904 25895663892 29595044448 34527551856 51791327784 69055103712 103582655568 207165311136