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146009641871 = 17106925213187
BaseRepresentation
bin1000011111111011011…
…0100101001110001111
3111221212122220022120202
42013332312211032033
54343011432014441
6151024221204115
713356153323042
oct2077666451617
9457778808522
10146009641871
1156a16700015
122436a40063b
13109cb9555c2
1470d182ac59
153be861119b
hex21feda538f

146009641871 has 16 divisors (see below), whose sum is σ = 154853019360. Its totient is φ = 137194767360.

The previous prime is 146009641823. The next prime is 146009641879. The reversal of 146009641871 is 178146900641.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-146009641871 is a prime.

It is a super-3 number, since 3×1460096418713 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146009641879) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45812540 + ... + 45815726.

It is an arithmetic number, because the mean of its divisors is an integer number (9678313710).

Almost surely, 2146009641871 is an apocalyptic number.

146009641871 is a deficient number, since it is larger than the sum of its proper divisors (8843377489).

146009641871 is a wasteful number, since it uses less digits than its factorization.

146009641871 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6794.

The product of its (nonzero) digits is 290304, while the sum is 47.

The spelling of 146009641871 in words is "one hundred forty-six billion, nine million, six hundred forty-one thousand, eight hundred seventy-one".

Divisors: 1 17 1069 2521 3187 18173 42857 54179 2694949 3406903 8034427 45814133 57917351 136585259 8588802463 146009641871