Search a number
-
+
2772566767146 = 231142008587381
BaseRepresentation
bin101000010110001001110…
…110110111011000101010
3100211001110221111222011110
4220112021312313120222
5330411204043022041
65521411040011150
7404211534450261
oct50261166673052
910731427458143
102772566767146
11979925728710
12389413000ab6
131715b4b54287
149829b63b5d8
154c1c2bae516
hex28589db762a

2772566767146 has 16 divisors (see below), whose sum is σ = 6049236583008. Its totient is φ = 840171747600.

The previous prime is 2772566767133. The next prime is 2772566767151. The reversal of 2772566767146 is 6417676652772.

2772566767146 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (66), and also a Moran number because the ratio is a prime number: 42008587381 = 2772566767146 / (2 + 7 + 7 + 2 + 5 + 6 + 6 + 7 + 6 + 7 + 1 + 4 + 6).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21004293625 + ... + 21004293756.

It is an arithmetic number, because the mean of its divisors is an integer number (378077286438).

Almost surely, 22772566767146 is an apocalyptic number.

2772566767146 is an abundant number, since it is smaller than the sum of its proper divisors (3276669815862).

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

2772566767146 is a wasteful number, since it uses less digits than its factorization.

2772566767146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42008587397.

The product of its digits is 248935680, while the sum is 66.

The spelling of 2772566767146 in words is "two trillion, seven hundred seventy-two billion, five hundred sixty-six million, seven hundred sixty-seven thousand, one hundred forty-six".

Divisors: 1 2 3 6 11 22 33 66 42008587381 84017174762 126025762143 252051524286 462094461191 924188922382 1386283383573 2772566767146