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164431272474 = 23271305010099
BaseRepresentation
bin1001100100100011011…
…1100001101000011010
3120201102111110010001200
42121020313201220122
510143223401204344
6203312204455030
714610521516640
oct2311067415032
9521374403050
10164431272474
116380a191817
1227a4b84a476
131267632bb41
147d5c24d190
154425a02069
hex2648de1a1a

164431272474 has 24 divisors (see below), whose sum is σ = 407163151200. Its totient is φ = 46980363528.

The previous prime is 164431272469. The next prime is 164431272487. The reversal of 164431272474 is 474272134461.

164431272474 is a `hidden beast` number, since 1 + 64 + 43 + 12 + 72 + 474 = 666.

It is a super-3 number, since 3×1644312724743 (a number of 35 digits) contains 333 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 652504924 + ... + 652505175.

It is an arithmetic number, because the mean of its divisors is an integer number (16965131300).

Almost surely, 2164431272474 is an apocalyptic number.

164431272474 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

164431272474 is an abundant number, since it is smaller than the sum of its proper divisors (242731878726).

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

164431272474 is a wasteful number, since it uses less digits than its factorization.

164431272474 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1305010114 (or 1305010111 counting only the distinct ones).

The product of its digits is 903168, while the sum is 45.

The spelling of 164431272474 in words is "one hundred sixty-four billion, four hundred thirty-one million, two hundred seventy-two thousand, four hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 1305010099 2610020198 3915030297 7830060594 9135070693 11745090891 18270141386 23490181782 27405212079 54810424158 82215636237 164431272474