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106727374637 = 13173187151531
BaseRepresentation
bin110001101100101110…
…0100111111100101101
3101012111000101101100022
41203121130213330231
53222034201442022
6121010242011525
710465542500432
oct1433134477455
9335430341308
10106727374637
1141298903254
1218826946ba5
13a0ab4b08b0
1452466d1b89
152b99b50c42
hex18d9727f2d

106727374637 has 16 divisors (see below), whose sum is σ = 121737172032. Its totient is φ = 92692719360.

The previous prime is 106727374619. The next prime is 106727374639. The reversal of 106727374637 is 736473727601.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106727374637 is a prime.

It is a super-2 number, since 2×1067273746372 (a number of 23 digits) contains 22 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 (106727374639) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 628562 + ... + 780092.

It is an arithmetic number, because the mean of its divisors is an integer number (7608573252).

Almost surely, 2106727374637 is an apocalyptic number.

106727374637 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

106727374637 is a deficient number, since it is larger than the sum of its proper divisors (15009797395).

106727374637 is a wasteful number, since it uses less digits than its factorization.

106727374637 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154748.

The product of its (nonzero) digits is 6223392, while the sum is 53.

The spelling of 106727374637 in words is "one hundred six billion, seven hundred twenty-seven million, three hundred seventy-four thousand, six hundred thirty-seven".

Divisors: 1 13 17 221 3187 41431 54179 151531 704327 1969903 2576027 33488351 482929297 6278080861 8209798049 106727374637