Search a number
-
+
201136306304 = 2714919975281
BaseRepresentation
bin1011101101010010101…
…0000111100010000000
3201020011112110000201002
42323110222013202000
511243411343300204
6232222321031132
720350226252243
oct2732452074200
9636145400632
10201136306304
1178335223a1a
1232b941854a8
1315c7587237b
149a40d9125a
1553730cc91e
hex2ed4a87880

201136306304 has 64 divisors (see below), whose sum is σ = 403668927000. Its totient is φ = 99824271360.

The previous prime is 201136306297. The next prime is 201136306307. The reversal of 201136306304 is 403603631102.

It can be written as a sum of positive squares in 4 ways, for example, as 36462666304 + 164673640000 = 190952^2 + 405800^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (201136306307) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38084144 + ... + 38089424.

Almost surely, 2201136306304 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 201136306304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201834463500).

201136306304 is an abundant number, since it is smaller than the sum of its proper divisors (202532620696).

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

201136306304 is a wasteful number, since it uses less digits than its factorization.

201136306304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7441 (or 7429 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 29.

Adding to 201136306304 its reverse (403603631102), we get a palindrome (604739937406).

The spelling of 201136306304 in words is "two hundred one billion, one hundred thirty-six million, three hundred six thousand, three hundred four".

Divisors: 1 2 4 8 16 32 64 128 149 298 596 1192 1997 2384 3994 4768 5281 7988 9536 10562 15976 19072 21124 31952 42248 63904 84496 127808 168992 255616 297553 337984 595106 675968 786869 1190212 1573738 2380424 3147476 4760848 6294952 9521696 10546157 12589904 19043392 21092314 25179808 38086784 42184628 50359616 84369256 100719232 168738512 337477024 674954048 1349908096 1571377393 3142754786 6285509572 12571019144 25142038288 50284076576 100568153152 201136306304