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2166582971 = 72144730557
BaseRepresentation
bin1000000100100011…
…0110111010111011
312120222210211002202
42001020312322323
513414121123341
6554553220415
7104455436300
oct20110667273
95528724082
102166582971
11a11a85943
1250570170b
13286b31277
14167a5d0a7
15ca31a79b
hex81236ebb

2166582971 has 12 divisors (see below), whose sum is σ = 2522135088. Its totient is φ = 1855726992.

The previous prime is 2166582949. The next prime is 2166582991. The reversal of 2166582971 is 1792856612.

It is a happy number.

2166582971 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2166582971 - 214 = 2166566587 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2166582991) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55625 + ... + 86181.

It is an arithmetic number, because the mean of its divisors is an integer number (210177924).

Almost surely, 22166582971 is an apocalyptic number.

2166582971 is a deficient number, since it is larger than the sum of its proper divisors (355552117).

2166582971 is a wasteful number, since it uses less digits than its factorization.

2166582971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32018 (or 32011 counting only the distinct ones).

The product of its digits is 362880, while the sum is 47.

The square root of 2166582971 is about 46546.5677682039. The cubic root of 2166582971 is about 1293.9726841562.

The spelling of 2166582971 in words is "two billion, one hundred sixty-six million, five hundred eighty-two thousand, nine hundred seventy-one".

Divisors: 1 7 49 1447 10129 30557 70903 213899 1497293 44215979 309511853 2166582971