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4102332966 = 23473346891
BaseRepresentation
bin1111010010000100…
…1010001000100110
3101120220021002220000
43310201022020212
531400144123331
61515023122130
7203442153264
oct36441121046
911526232800
104102332966
111815729526
12965a43346
13504ba1074
142acb91434
1519023b0e6
hexf484a226

4102332966 has 40 divisors (see below), whose sum is σ = 9318212904. Its totient is φ = 1348708320.

The previous prime is 4102332961. The next prime is 4102332967. The reversal of 4102332966 is 6692332014.

4102332966 is a `hidden beast` number, since 410 + 233 + 2 + 9 + 6 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4102332966.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4102332961) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 161620 + ... + 185271.

Almost surely, 24102332966 is an apocalyptic number.

4102332966 is an abundant number, since it is smaller than the sum of its proper divisors (5215879938).

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

4102332966 is a wasteful number, since it uses less digits than its factorization.

4102332966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346978 (or 346969 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 4102332966 is about 64049.4571873954. The cubic root of 4102332966 is about 1600.8241803293.

The spelling of 4102332966 in words is "four billion, one hundred two million, three hundred thirty-two thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 54 73 81 146 162 219 438 657 1314 1971 3942 5913 11826 346891 693782 1040673 2081346 3122019 6244038 9366057 18732114 25323043 28098171 50646086 56196342 75969129 151938258 227907387 455814774 683722161 1367444322 2051166483 4102332966