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106672278337 = 4322710928417
BaseRepresentation
bin110001101011000101…
…0011100101101000001
3101012100011201012102121
41203112022130231001
53221431100401322
6121000553044241
710464303256012
oct1432612345501
9335304635377
10106672278337
114126a7a1619
12188103b6681
13a09cc5c931
14523d26d009
152b94dbaec7
hex18d629cb41

106672278337 has 8 divisors (see below), whose sum is σ = 109633889376. Its totient is φ = 103732524672.

The previous prime is 106672278247. The next prime is 106672278371. The reversal of 106672278337 is 733872276601.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106672278337 is a prime.

It is a super-2 number, since 2×1066722783372 (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 (106672278137) 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 7 ways as a sum of consecutive naturals, for example, 5454448 + ... + 5473969.

It is an arithmetic number, because the mean of its divisors is an integer number (13704236172).

Almost surely, 2106672278337 is an apocalyptic number.

It is an amenable number.

106672278337 is a deficient number, since it is larger than the sum of its proper divisors (2961611039).

106672278337 is a wasteful number, since it uses less digits than its factorization.

106672278337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10928687.

The product of its (nonzero) digits is 3556224, while the sum is 52.

The spelling of 106672278337 in words is "one hundred six billion, six hundred seventy-two million, two hundred seventy-eight thousand, three hundred thirty-seven".

Divisors: 1 43 227 9761 10928417 469921931 2480750659 106672278337