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106712444727 = 3271799638137
BaseRepresentation
bin110001101100010001…
…1101010111100110111
3101012102222021212100200
41203120203222330313
53222021341212402
6121004550011543
710465301546130
oct1433043527467
9335388255320
10106712444727
1141290436189
1218821946bb3
13a0a8384125
145244726c87
152b986a221c
hex18d88eaf37

106712444727 has 24 divisors (see below), whose sum is σ = 186522594336. Its totient is φ = 57391566336.

The previous prime is 106712444687. The next prime is 106712444767. The reversal of 106712444727 is 727444217601.

106712444727 is a `hidden beast` number, since 1 + 0 + 67 + 124 + 447 + 27 = 666.

It is an interprime number because it is at equal distance from previous prime (106712444687) and next prime (106712444767).

It is not a de Polignac number, because 106712444727 - 27 = 106712444599 is a prime.

It is a super-2 number, since 2×1067124447272 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106712444767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49817998 + ... + 49820139.

It is an arithmetic number, because the mean of its divisors is an integer number (7771774764).

Almost surely, 2106712444727 is an apocalyptic number.

106712444727 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

106712444727 is a deficient number, since it is larger than the sum of its proper divisors (79810149609).

106712444727 is a wasteful number, since it uses less digits than its factorization.

106712444727 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99638167 (or 99638164 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The spelling of 106712444727 in words is "one hundred six billion, seven hundred twelve million, four hundred forty-four thousand, seven hundred twenty-seven".

Divisors: 1 3 7 9 17 21 51 63 119 153 357 1071 99638137 298914411 697466959 896743233 1693848329 2092400877 5081544987 6277202631 11856938303 15244634961 35570814909 106712444727