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106496000693 = 1737317534101
BaseRepresentation
bin110001100101110101…
…0000000001010110101
3101011212220000100221222
41203023222000022311
53221100434010233
6120531254520125
710460033033015
oct1431352001265
9334786010858
10106496000693
114118a241615
1218781366045
13a072590134
145223aa3c45
152b8469a898
hex18cba802b5

106496000693 has 16 divisors (see below), whose sum is σ = 116173594224. Its totient is φ = 97214745600.

The previous prime is 106496000657. The next prime is 106496000707. The reversal of 106496000693 is 396000694601.

It can be written as a sum of positive squares in 8 ways, for example, as 3424824484 + 103071176209 = 58522^2 + 321047^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106496000693 is a prime.

It is a super-2 number, since 2×1064960006932 (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 (106496000623) 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, 67658 + ... + 466443.

It is an arithmetic number, because the mean of its divisors is an integer number (7260849639).

Almost surely, 2106496000693 is an apocalyptic number.

It is an amenable number.

106496000693 is a deficient number, since it is larger than the sum of its proper divisors (9677593531).

106496000693 is a wasteful number, since it uses less digits than its factorization.

106496000693 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534472.

The product of its (nonzero) digits is 209952, while the sum is 44.

The spelling of 106496000693 in words is "one hundred six billion, four hundred ninety-six million, six hundred ninety-three", and thus it is an aban number.

Divisors: 1 17 37 317 629 5389 11729 199393 534101 9079717 19761737 169310017 335949529 2878270289 6264470629 106496000693