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27362116852 = 227217924357
BaseRepresentation
bin11001011110111010…
…001100010011110100
32121121220122112222021
4121132322030103310
5422014200214402
620323041042524
71656026104300
oct313672142364
977556575867
1027362116852
1110671224414
125377626444
132770a19cb5
141477d84d00
15aa2263d37
hex65ee8c4f4

27362116852 has 54 divisors (see below), whose sum is σ = 56027228082. Its totient is φ = 11658433248.

The previous prime is 27362116841. The next prime is 27362116867. The reversal of 27362116852 is 25861126372.

It can be written as a sum of positive squares in only one way, i.e., 27355836816 + 6280036 = 165396^2 + 2506^2 .

It is a junction number, because it is equal to n+sod(n) for n = 27362116799 and 27362116808.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6277858 + ... + 6282214.

Almost surely, 227362116852 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 27362116852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28013614041).

27362116852 is an abundant number, since it is smaller than the sum of its proper divisors (28665111230).

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

27362116852 is a wasteful number, since it uses less digits than its factorization.

27362116852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4733 (or 4545 counting only the distinct ones).

The product of its digits is 241920, while the sum is 43.

The spelling of 27362116852 in words is "twenty-seven billion, three hundred sixty-two million, one hundred sixteen thousand, eight hundred fifty-two".

Divisors: 1 2 4 7 14 28 49 98 179 196 358 716 1253 2506 4357 5012 8714 8771 17428 17542 30499 32041 35084 60998 64082 121996 128164 213493 224287 426986 448574 779903 853972 897148 1559806 1570009 3119612 3140018 5459321 6280036 10918642 21837284 38215247 76430494 139602637 152860988 279205274 558410548 977218459 1954436918 3908873836 6840529213 13681058426 27362116852