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34777028196 = 2232310812
BaseRepresentation
bin100000011000110111…
…110101011001100100
310022202200010002010100
4200120313311121210
51032210404400241
623550520224100
72340543601521
oct403067653144
9108680102110
1034777028196
11138267a9019
1268a690b030
133382c856c1
14197ca68148
15d881d99b6
hex818df5664

34777028196 has 27 divisors (see below), whose sum is σ = 87911427513. Its totient is φ = 11591969760.

The previous prime is 34777028191. The next prime is 34777028207. The reversal of 34777028196 is 69182077743.

The square root of 34777028196 is 186486.

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

34777028196 is a `hidden beast` number, since 3 + 477 + 7 + 0 + 2 + 81 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10366090596 + 24410937600 = 101814^2 + 156240^2 .

It is not an unprimeable number, because it can be changed into a prime (34777028191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1103376 + ... + 1134456.

Almost surely, 234777028196 is an apocalyptic number.

34777028196 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

34777028196 is the 186486-th square number.

It is an amenable number.

34777028196 is an abundant number, since it is smaller than the sum of its proper divisors (53134399317).

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

34777028196 is an frugal number, since it uses more digits than its factorization.

34777028196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62172 (or 31086 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 34777028196 in words is "thirty-four billion, seven hundred seventy-seven million, twenty-eight thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 31081 62162 93243 124324 186486 279729 372972 559458 1118916 966028561 1932057122 2898085683 3864114244 5796171366 8694257049 11592342732 17388514098 34777028196