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106675248615 = 351346310091171
BaseRepresentation
bin110001101011001010…
…1110001110111100111
3101012100101022002212220
41203112111301313213
53221432330423430
6121001140443423
710464340436505
oct1432625616747
9335311262786
10106675248615
11412714401a1
12188113a9573
13a0a075c8b0
14523d803675
152b952a6110
hex18d6571de7

106675248615 has 64 divisors (see below), whose sum is σ = 184546682880. Its totient is φ = 52306974720.

The previous prime is 106675248593. The next prime is 106675248619. The reversal of 106675248615 is 516842576601.

It is a happy number.

It is not a de Polignac number, because 106675248615 - 25 = 106675248583 is a prime.

It is a super-2 number, since 2×1066752486152 (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 (106675248619) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 91096980 + ... + 91098150.

It is an arithmetic number, because the mean of its divisors is an integer number (2883541920).

Almost surely, 2106675248615 is an apocalyptic number.

106675248615 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106675248615 is a deficient number, since it is larger than the sum of its proper divisors (77871434265).

106675248615 is a wasteful number, since it uses less digits than its factorization.

106675248615 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2664.

The product of its (nonzero) digits is 2419200, while the sum is 51.

The spelling of 106675248615 in words is "one hundred six billion, six hundred seventy-five million, two hundred forty-eight thousand, six hundred fifteen".

Divisors: 1 3 5 13 15 39 65 195 463 1009 1171 1389 2315 3027 3513 5045 5855 6019 6945 13117 15135 15223 17565 18057 30095 39351 45669 65585 76115 90285 196755 228345 467167 542173 1181539 1401501 1626519 2335835 2710865 3544617 5907695 6073171 7007505 7048249 8132595 15360007 17723085 18219513 21144747 30365855 35241245 46080021 76800035 91097565 105723735 230400105 547052557 1641157671 2735262785 7111683241 8205788355 21335049723 35558416205 106675248615