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36082142209 = 4141132
BaseRepresentation
bin100001100110101010…
…011100110000000001
310110010121220201222101
4201212222130300001
51042344012022314
624324221310401
72415102101611
oct414652346001
9113117821871
1036082142209
1114336479543
126baba05401
133530491309
141a6411aa41
15e12a8a174
hex866a9cc01

36082142209 has 15 divisors (see below), whose sum is σ = 37314385615. Its totient is φ = 34890567040.

The previous prime is 36082142207. The next prime is 36082142219. The reversal of 36082142209 is 90224128063.

It is a happy number.

The square root of 36082142209 is 189953.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 10696730625 + 25385411584 = 103425^2 + 159328^2 .

It is not a de Polignac number, because 36082142209 - 21 = 36082142207 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (36082142207) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 319310937 + ... + 319311049.

Almost surely, 236082142209 is an apocalyptic number.

36082142209 is the 189953-rd square number.

36082142209 is the 94977-th centered octagonal number.

It is an amenable number.

36082142209 is a deficient number, since it is larger than the sum of its proper divisors (1232243406).

36082142209 is an frugal number, since it uses more digits than its factorization.

36082142209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The spelling of 36082142209 in words is "thirty-six billion, eighty-two million, one hundred forty-two thousand, two hundred nine".

Divisors: 1 41 113 1681 4633 12769 68921 189953 523529 2825761 7788073 21464689 319310993 880052249 36082142209