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27428677952 = 261332967161
BaseRepresentation
bin11001100010111000…
…000110100101000000
32121210112220012122012
4121202320012211000
5422133220143302
620333415432052
71660464626054
oct314270064500
977715805565
1027428677952
11106a5856795
125395985628
132781753470
141482b4dc64
15aa8010a52
hex662e06940

27428677952 has 28 divisors (see below), whose sum is σ = 58615614036. Its totient is φ = 12659389440.

The previous prime is 27428677921. The next prime is 27428678003. The reversal of 27428677952 is 25977682472.

It can be written as a sum of positive squares in 2 ways, for example, as 4073502976 + 23355174976 = 63824^2 + 152824^2 .

It is a junction number, because it is equal to n+sod(n) for n = 27428677891 and 27428677900.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16482749 + ... + 16484412.

It is an arithmetic number, because the mean of its divisors is an integer number (2093414787).

Almost surely, 227428677952 is an apocalyptic number.

It is an amenable number.

27428677952 is an abundant number, since it is smaller than the sum of its proper divisors (31186936084).

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

27428677952 is a wasteful number, since it uses less digits than its factorization.

27428677952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32967186 (or 32967176 counting only the distinct ones).

The product of its digits is 23708160, while the sum is 59.

The spelling of 27428677952 in words is "twenty-seven billion, four hundred twenty-eight million, six hundred seventy-seven thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 32967161 65934322 131868644 263737288 428573093 527474576 857146186 1054949152 1714292372 2109898304 3428584744 6857169488 13714338976 27428677952