Search a number
-
+
27122842512 = 2432188353073
BaseRepresentation
bin11001010000101001…
…011011101110010000
32121000020102011021200
4121100221123232100
5421021421430022
620243212351200
71650062233413
oct312051335620
977006364250
1027122842512
1110559157027
12530b475500
13273329154c
14145429bb7a
15a8b24cbac
hex650a5bb90

27122842512 has 30 divisors (see below), whose sum is σ = 75906288822. Its totient is φ = 9040947456.

The previous prime is 27122842507. The next prime is 27122842519. The reversal of 27122842512 is 21524822172.

It is a happy number.

27122842512 is a `hidden beast` number, since 2 + 7 + 1 + 228 + 425 + 1 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 21128366736 + 5994475776 = 145356^2 + 77424^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (27122842519) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 94176393 + ... + 94176680.

Almost surely, 227122842512 is an apocalyptic number.

It is an amenable number.

27122842512 is an abundant number, since it is smaller than the sum of its proper divisors (48783446310).

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

27122842512 is a wasteful number, since it uses less digits than its factorization.

27122842512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188353087 (or 188353078 counting only the distinct ones).

The product of its digits is 35840, while the sum is 36.

The spelling of 27122842512 in words is "twenty-seven billion, one hundred twenty-two million, eight hundred forty-two thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 188353073 376706146 565059219 753412292 1130118438 1506824584 1695177657 2260236876 3013649168 3390355314 4520473752 6780710628 9040947504 13561421256 27122842512