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106793370465 = 35431327124771
BaseRepresentation
bin110001101110101100…
…0011000001101100001
3101012122121120022121020
41203131120120031201
53222203100323330
6121021000320053
710500303446205
oct1433530301541
9335577508536
10106793370465
1141322089961
1218844a73029
13a0bc079992
145251390b05
152ba083a210
hex18dd618361

106793370465 has 32 divisors (see below), whose sum is σ = 174976260096. Its totient is φ = 55589526720.

The previous prime is 106793370407. The next prime is 106793370469. The reversal of 106793370465 is 564073397601.

It is not a de Polignac number, because 106793370465 - 28 = 106793370209 is a prime.

It is a super-2 number, since 2×1067933704652 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106793370469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 793530 + ... + 918300.

It is an arithmetic number, because the mean of its divisors is an integer number (5468008128).

Almost surely, 2106793370465 is an apocalyptic number.

106793370465 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106793370465 is a deficient number, since it is larger than the sum of its proper divisors (68182889631).

106793370465 is a wasteful number, since it uses less digits than its factorization.

106793370465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126149.

The product of its (nonzero) digits is 2857680, while the sum is 51.

The spelling of 106793370465 in words is "one hundred six billion, seven hundred ninety-three million, three hundred seventy thousand, four hundred sixty-five".

Divisors: 1 3 5 15 43 129 215 645 1327 3981 6635 19905 57061 124771 171183 285305 374313 623855 855915 1871565 5365153 16095459 26825765 80477295 165571117 496713351 827855585 2483566755 7119558031 21358674093 35597790155 106793370465