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134641362105 = 3351377279879
BaseRepresentation
bin111110101100101000…
…0000010010010111001
3110212112101110212111000
41331121100002102321
54201221142041410
6141504155355213
712504352460205
oct1753120022271
9425471425430
10134641362105
11521125a2188
1222117152b09
13c909644643
146733a91b05
153780576dc0
hex1f594024b9

134641362105 has 32 divisors (see below), whose sum is σ = 241109625600. Its totient is φ = 71284565376.

The previous prime is 134641362071. The next prime is 134641362113. The reversal of 134641362105 is 501263146431.

134641362105 is a `hidden beast` number, since 1 + 3 + 4 + 641 + 3 + 6 + 2 + 1 + 0 + 5 = 666.

It is not a de Polignac number, because 134641362105 - 210 = 134641361081 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 134641362105.

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 31 ways as a sum of consecutive naturals, for example, 3621445 + ... + 3658434.

It is an arithmetic number, because the mean of its divisors is an integer number (7534675800).

Almost surely, 2134641362105 is an apocalyptic number.

134641362105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

134641362105 is a deficient number, since it is larger than the sum of its proper divisors (106468263495).

134641362105 is a wasteful number, since it uses less digits than its factorization.

134641362105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7280030 (or 7280024 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 134641362105 in words is "one hundred thirty-four billion, six hundred forty-one million, three hundred sixty-two thousand, one hundred five".

Divisors: 1 3 5 9 15 27 45 135 137 411 685 1233 2055 3699 6165 18495 7279879 21839637 36399395 65518911 109198185 196556733 327594555 982783665 997343423 2992030269 4986717115 8976090807 14960151345 26928272421 44880454035 134641362105