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106679523699 = 3276725273519
BaseRepresentation
bin110001101011010011…
…0000101100101110011
3101012100200100022012100
41203112212011211303
53221434424224244
6121001412231443
710464421663350
oct1432646054563
9335320308170
10106679523699
11412738a0121
121881290b583
13a0a15c8728
1452401d7627
152b9584cb69
hex18d6985973

106679523699 has 24 divisors (see below), whose sum is σ = 178734333440. Its totient is φ = 60049878768.

The previous prime is 106679523661. The next prime is 106679523701. The reversal of 106679523699 is 996325976601.

106679523699 is a `hidden beast` number, since 10 + 6 + 6 + 7 + 9 + 523 + 6 + 99 = 666.

It is not a de Polignac number, because 106679523699 - 28 = 106679523443 is a prime.

It is a super-2 number, since 2×1066795236992 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106679523659) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12632539 + ... + 12640980.

Almost surely, 2106679523699 is an apocalyptic number.

106679523699 is a deficient number, since it is larger than the sum of its proper divisors (72054809741).

106679523699 is a wasteful number, since it uses less digits than its factorization.

106679523699 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25273599 (or 25273596 counting only the distinct ones).

The product of its (nonzero) digits is 33067440, while the sum is 63.

The spelling of 106679523699 in words is "one hundred six billion, six hundred seventy-nine million, five hundred twenty-three thousand, six hundred ninety-nine".

Divisors: 1 3 7 9 21 63 67 201 469 603 1407 4221 25273519 75820557 176914633 227461671 530743899 1592231697 1693325773 5079977319 11853280411 15239931957 35559841233 106679523699