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106640456611 = 1323753321779
BaseRepresentation
bin110001101010001000…
…1000011101110100011
3101012020221211111020011
41203110101003232203
53221344424102421
6120553455025351
710463435632213
oct1432421035643
9335227744204
10106640456611
1141253837477
121880180b257
13a09649a700
145238d48243
152b921d24e1
hex18d4443ba3

106640456611 has 24 divisors (see below), whose sum is σ = 120833538480. Its totient is φ = 93969472896.

The previous prime is 106640456557. The next prime is 106640456623. The reversal of 106640456611 is 116654046601.

It is not a de Polignac number, because 106640456611 - 223 = 106632068003 is a prime.

It is a super-2 number, since 2×1066404566112 (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 (106640456641) 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 23 ways as a sum of consecutive naturals, for example, 170520 + ... + 492298.

It is an arithmetic number, because the mean of its divisors is an integer number (5034730770).

Almost surely, 2106640456611 is an apocalyptic number.

106640456611 is a deficient number, since it is larger than the sum of its proper divisors (14193081869).

106640456611 is a wasteful number, since it uses less digits than its factorization.

106640456611 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321895 (or 321882 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The spelling of 106640456611 in words is "one hundred six billion, six hundred forty million, four hundred fifty-six thousand, six hundred eleven".

Divisors: 1 13 37 53 169 481 689 1961 6253 8957 25493 321779 331409 4183127 11905823 17054287 54380651 154775699 221705731 631008619 2012084087 2882174503 8203112047 106640456611