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106517172176 = 2441571601473
BaseRepresentation
bin110001100110011101…
…0110000111111010000
3101011221100211222202222
41203030322300333100
53221121344002201
6120533332400212
710460411011322
oct1431472607720
9334840758688
10106517172176
11411a0192008
1218788476068
13a076a9383c
145226815612
152b8647d91b
hex18cceb0fd0

106517172176 has 20 divisors (see below), whose sum is σ = 206426795652. Its totient is φ = 53245741056.

The previous prime is 106517172163. The next prime is 106517172193. The reversal of 106517172176 is 671271715601.

It can be written as a sum of positive squares in 2 ways, for example, as 35773939600 + 70743232576 = 189140^2 + 265976^2 .

It is a super-2 number, since 2×1065171721762 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 734225 + ... + 867248.

Almost surely, 2106517172176 is an apocalyptic number.

106517172176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106517172176 is a deficient number, since it is larger than the sum of its proper divisors (99909623476).

106517172176 is a wasteful number, since it uses less digits than its factorization.

106517172176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1605638 (or 1605632 counting only the distinct ones).

The product of its (nonzero) digits is 123480, while the sum is 44.

Adding to 106517172176 its reverse (671271715601), we get a palindrome (777788887777).

The spelling of 106517172176 in words is "one hundred six billion, five hundred seventeen million, one hundred seventy-two thousand, one hundred seventy-six".

Divisors: 1 2 4 8 16 4157 8314 16628 33256 66512 1601473 3202946 6405892 12811784 25623568 6657323261 13314646522 26629293044 53258586088 106517172176