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106706332649 = 7171922483911
BaseRepresentation
bin110001101100000110…
…0010110101111101001
3101012102112210100011102
41203120030112233221
53222013310121044
6121004211011145
710465165601510
oct1433014265751
9335375710142
10106706332649
1141287a41084
121881b899ab5
13a0a7024107
1452439b5677
152b97d9624e
hex18d8316be9

106706332649 has 24 divisors (see below), whose sum is σ = 136277347968. Its totient is φ = 81551733120.

The previous prime is 106706332637. The next prime is 106706332651. The reversal of 106706332649 is 946233607601.

It is a de Polignac number, because none of the positive numbers 2k-106706332649 is a prime.

It is a super-2 number, since 2×1067063326492 (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 (106706332699) 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, 1198997 + ... + 1284914.

It is an arithmetic number, because the mean of its divisors is an integer number (5678222832).

Almost surely, 2106706332649 is an apocalyptic number.

106706332649 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

106706332649 is a deficient number, since it is larger than the sum of its proper divisors (29571015319).

106706332649 is a wasteful number, since it uses less digits than its factorization.

106706332649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2483973 (or 2483954 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 47.

The spelling of 106706332649 in words is "one hundred six billion, seven hundred six million, three hundred thirty-two thousand, six hundred forty-nine".

Divisors: 1 7 17 19 119 133 323 361 2261 2527 6137 42959 2483911 17387377 42226487 47194309 295585409 330360163 802303253 896691871 5616122771 6276843097 15243761807 106706332649