Search a number
-
+
203305434336 = 25321395078573
BaseRepresentation
bin1011110101010111110…
…0101011110011100000
3201102202201001010222100
42331111330223303200
511312332142344321
6233221445010400
720455045451544
oct2752574536340
9642681033870
10203305434336
1179248687a14
123349a6b3a00
1316230084b94
149ba90b3a24
15544d74c326
hex2f55f2bce0

203305434336 has 72 divisors (see below), whose sum is σ = 582309294840. Its totient is φ = 67280921856.

The previous prime is 203305434317. The next prime is 203305434379. The reversal of 203305434336 is 633434503302.

203305434336 is a `hidden beast` number, since 2 + 0 + 3 + 305 + 4 + 343 + 3 + 6 = 666.

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

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 203305434336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2499255 + ... + 2579318.

It is an arithmetic number, because the mean of its divisors is an integer number (8087629095).

Almost surely, 2203305434336 is an apocalyptic number.

It is an amenable number.

203305434336 is an abundant number, since it is smaller than the sum of its proper divisors (379003860504).

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

203305434336 is a wasteful number, since it uses less digits than its factorization.

203305434336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5078728 (or 5078717 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 36.

Adding to 203305434336 its reverse (633434503302), we get a palindrome (836739937638).

The spelling of 203305434336 in words is "two hundred three billion, three hundred five million, four hundred thirty-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 139 144 278 288 417 556 834 1112 1251 1668 2224 2502 3336 4448 5004 6672 10008 13344 20016 40032 5078573 10157146 15235719 20314292 30471438 40628584 45707157 60942876 81257168 91414314 121885752 162514336 182828628 243771504 365657256 487543008 705921647 731314512 1411843294 1462629024 2117764941 2823686588 4235529882 5647373176 6353294823 8471059764 11294746352 12706589646 16942119528 22589492704 25413179292 33884239056 50826358584 67768478112 101652717168 203305434336