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28682132164 = 2272120972
BaseRepresentation
bin11010101101100101…
…101001101011000100
32202000220111021120021
4122231211221223010
5432220111212124
621102033344524
72033525046400
oct325545515304
982026437507
1028682132164
1111189352464
125685708144
13292134234a
1415613d6100
15b2d0a97e4
hex6ad969ac4

28682132164 has 27 divisors (see below), whose sum is σ = 58393453293. Its totient is φ = 12291326208.

The previous prime is 28682132137. The next prime is 28682132191. The reversal of 28682132164 is 46123128682.

It is a happy number.

The square root of 28682132164 is 169358.

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

It is an interprime number because it is at equal distance from previous prime (28682132137) and next prime (28682132191).

It can be written as a sum of positive squares in only one way, i.e., 795804100 + 27886328064 = 28210^2 + 166992^2 .

It is a super-3 number, since 3×286821321643 (a number of 32 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 28682132164.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2364964 + ... + 2377060.

Almost surely, 228682132164 is an apocalyptic number.

28682132164 is the 169358-th square number.

It is an amenable number.

28682132164 is an abundant number, since it is smaller than the sum of its proper divisors (29711321129).

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

28682132164 is an frugal number, since it uses more digits than its factorization.

28682132164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24212 (or 12106 counting only the distinct ones).

The product of its digits is 221184, while the sum is 43.

The spelling of 28682132164 in words is "twenty-eight billion, six hundred eighty-two million, one hundred thirty-two thousand, one hundred sixty-four".

Divisors: 1 2 4 7 14 28 49 98 196 12097 24194 48388 84679 169358 338716 592753 1185506 2371012 146337409 292674818 585349636 1024361863 2048723726 4097447452 7170533041 14341066082 28682132164