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27764223876 = 223492572
BaseRepresentation
bin11001110110111000…
…000110111110000100
32122122221021201010000
4121312320012332010
5423330120131001
620431003401300
72002011003054
oct316670067604
978587251100
1027764223876
11108581a9374
12546a223230
13280611864c
1414b5537564
15ac76e1a86
hex676e06f84

27764223876 has 45 divisors (see below), whose sum is σ = 72589007029. Its totient is φ = 9253741536.

The previous prime is 27764223869. The next prime is 27764223881. The reversal of 27764223876 is 67832246772.

It is a happy number.

The square root of 27764223876 is 166626.

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

It can be written as a sum of positive squares in only one way, i.e., 1706516100 + 26057707776 = 41310^2 + 161424^2 .

It is a super-3 number, since 3×277642238763 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2994640 + ... + 3003896.

Almost surely, 227764223876 is an apocalyptic number.

27764223876 is the 166626-th square number.

It is an amenable number.

27764223876 is an abundant number, since it is smaller than the sum of its proper divisors (44824783153).

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

27764223876 is an frugal number, since it uses more digits than its factorization.

27764223876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18530 (or 9262 counting only the distinct ones).

The product of its digits is 9483264, while the sum is 54.

The spelling of 27764223876 in words is "twenty-seven billion, seven hundred sixty-four million, two hundred twenty-three thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 9257 18514 27771 37028 55542 83313 111084 166626 249939 333252 499878 749817 999756 1499634 2999268 85692049 171384098 257076147 342768196 514152294 771228441 1028304588 1542456882 2313685323 3084913764 4627370646 6941055969 9254741292 13882111938 27764223876