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106449437681 = 2153241120507
BaseRepresentation
bin110001100100011100…
…0011000001111110001
3101011202122101201111222
41203020320120033301
53221002024001211
6120522512514425
710455626201546
oct1431070301761
9334678351458
10106449437681
1141165a29094
121876984ba15
13a065a39262
14521b822bcd
152b8054e1db
hex18c8e183f1

106449437681 has 8 divisors (see below), whose sum is σ = 106548247584. Its totient is φ = 106350677920.

The previous prime is 106449437669. The next prime is 106449437711. The reversal of 106449437681 is 186734944601.

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

It is a cyclic number.

It is not a de Polignac number, because 106449437681 - 26 = 106449437617 is a prime.

It is a super-2 number, since 2×1064494376812 (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 (106449437621) 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, 5180630 + ... + 5201136.

It is an arithmetic number, because the mean of its divisors is an integer number (13318530948).

Almost surely, 2106449437681 is an apocalyptic number.

It is an amenable number.

106449437681 is a deficient number, since it is larger than the sum of its proper divisors (98809903).

106449437681 is a wasteful number, since it uses less digits than its factorization.

106449437681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25071.

The product of its (nonzero) digits is 3483648, while the sum is 53.

The spelling of 106449437681 in words is "one hundred six billion, four hundred forty-nine million, four hundred thirty-seven thousand, six hundred eighty-one".

Divisors: 1 2153 2411 20507 5190883 44151571 49442377 106449437681