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34512892450146 = 23211174307537627
BaseRepresentation
bin1111101100011101010001…
…01100011101010101100010
311112012101210211000111110100
413312032220230131111202
514010424400431401041
6201223000502243230
710161321435321135
oct766165054352542
9145171724014410
1034512892450146
11aaa69210477a0
123a549b5a26516
13163472339c376
1487460bc8021c
153ecb5d6726b6
hex1f63a8b1d562

34512892450146 has 24 divisors (see below), whose sum is σ = 81575927609904. Its totient is φ = 10458452257560.

The previous prime is 34512892450133. The next prime is 34512892450151. The reversal of 34512892450146 is 64105429821543.

34512892450146 is a `hidden beast` number, since 3 + 4 + 5 + 1 + 2 + 8 + 92 + 4 + 501 + 46 = 666.

It is a super-2 number, since 2×345128924501462 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34512892450092 and 34512892450101.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87153768616 + ... + 87153769011.

It is an arithmetic number, because the mean of its divisors is an integer number (3398996983746).

Almost surely, 234512892450146 is an apocalyptic number.

34512892450146 is an abundant number, since it is smaller than the sum of its proper divisors (47063035159758).

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

34512892450146 is a wasteful number, since it uses less digits than its factorization.

34512892450146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174307537646 (or 174307537643 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 34512892450146 in words is "thirty-four trillion, five hundred twelve billion, eight hundred ninety-two million, four hundred fifty thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 174307537627 348615075254 522922612881 1045845225762 1568767838643 1917382913897 3137535677286 3834765827794 5752148741691 11504297483382 17256446225073 34512892450146