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106586246793 = 31325511071337
BaseRepresentation
bin110001101000100001…
…0010000111010001001
3101012010011211100100010
41203101002100322021
53221242034344133
6120544241102133
710462210102125
oct1432102207211
9335104740303
10106586246793
1141226180874
12187a7627949
13a08819a0b0
145231a76585
152b8c575263
hex18d1090e89

106586246793 has 16 divisors (see below), whose sum is σ = 153107056256. Its totient is φ = 65565763200.

The previous prime is 106586246783. The next prime is 106586246821. The reversal of 106586246793 is 397642685601.

It is not a de Polignac number, because 106586246793 - 234 = 89406377609 is a prime.

It is a super-2 number, since 2×1065862467932 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106586246783) 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, 436180 + ... + 635157.

It is an arithmetic number, because the mean of its divisors is an integer number (9569191016).

It is a 1-persistent number, because it is pandigital, but 2⋅106586246793 = 213172493586 is not.

Almost surely, 2106586246793 is an apocalyptic number.

106586246793 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

106586246793 is a deficient number, since it is larger than the sum of its proper divisors (46520809463).

106586246793 is a wasteful number, since it uses less digits than its factorization.

106586246793 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1073904.

The product of its (nonzero) digits is 13063680, while the sum is 57.

The spelling of 106586246793 in words is "one hundred six billion, five hundred eighty-six million, two hundred forty-six thousand, seven hundred ninety-three".

Divisors: 1 3 13 39 2551 7653 33163 99489 1071337 3214011 13927381 41782143 2732980687 8198942061 35528748931 106586246793