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106726208655 = 35112393270299
BaseRepresentation
bin110001101100101100…
…0001011010010001111
3101012110221012010220210
41203121120023102033
53222033402134110
6121010201013503
710465526543163
oct1433130132217
9335427163823
10106726208655
1141298187230
1218826484293
13a0ab192c71
1452464aaca3
152b999c0520
hex18d960b48f

106726208655 has 32 divisors (see below), whose sum is σ = 186364281600. Its totient is φ = 51724225280.

The previous prime is 106726208647. The next prime is 106726208713. The reversal of 106726208655 is 556802627601.

It is a happy number.

It is not a de Polignac number, because 106726208655 - 23 = 106726208647 is a prime.

It is a super-3 number, since 3×1067262086553 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 259696 + ... + 529994.

It is an arithmetic number, because the mean of its divisors is an integer number (5823883800).

Almost surely, 2106726208655 is an apocalyptic number.

106726208655 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106726208655 is a deficient number, since it is larger than the sum of its proper divisors (79638072945).

106726208655 is a wasteful number, since it uses less digits than its factorization.

106726208655 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272711.

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 106726208655 in words is "one hundred six billion, seven hundred twenty-six million, two hundred eight thousand, six hundred fifty-five".

Divisors: 1 3 5 11 15 33 55 165 2393 7179 11965 26323 35895 78969 131615 270299 394845 810897 1351495 2973289 4054485 8919867 14866445 44599335 646825507 1940476521 3234127535 7115080577 9702382605 21345241731 35575402885 106726208655