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106151560677 = 3291912834187
BaseRepresentation
bin110001011011100100…
…0000100010111100101
3101010222212220000002100
41202313020010113211
53214344244420202
6120433152202313
710445351243511
oct1426710042745
9333885800070
10106151560677
1141022874748
12186a5b39399
13a019102886
1451d0043141
152b6430e41c
hex18b72045e5

106151560677 has 12 divisors (see below), whose sum is σ = 153496888480. Its totient is φ = 70690696488.

The previous prime is 106151560673. The next prime is 106151560679. The reversal of 106151560677 is 776065151601.

106151560677 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 515 + 60 + 6 + 77 = 666.

It is not a de Polignac number, because 106151560677 - 22 = 106151560673 is a prime.

It is a super-2 number, since 2×1061515606772 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106151560673) 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 11 ways as a sum of consecutive naturals, for example, 6408823 + ... + 6425364.

Almost surely, 2106151560677 is an apocalyptic number.

It is an amenable number.

106151560677 is a deficient number, since it is larger than the sum of its proper divisors (47345327803).

106151560677 is a wasteful number, since it uses less digits than its factorization.

106151560677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12835112 (or 12835109 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 45.

The spelling of 106151560677 in words is "one hundred six billion, one hundred fifty-one million, five hundred sixty thousand, six hundred seventy-seven".

Divisors: 1 3 9 919 2757 8271 12834187 38502561 115507683 11794617853 35383853559 106151560677