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106655263734843 = 32977118726333881
BaseRepresentation
bin11000010000000010011101…
…000110111011110000111011
3111222122010212201011202001100
4120100002131012323300323
5102434414440004003333
61014500430213422443
731315405601410065
oct3020023506736073
9458563781152040
10106655263734843
1130a9027497705a
12bb6660803aa23
134768718572a55
141c4a1dc6ca735
15c4e53511a213
hex61009d1bbc3b

106655263734843 has 48 divisors (see below), whose sum is σ = 154443611795616. Its totient is φ = 70925657026560.

The previous prime is 106655263734829. The next prime is 106655263734881. The reversal of 106655263734843 is 348437362556601.

106655263734843 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 5 + 526 + 37 + 34 + 8 + 43 = 666.

It is not a de Polignac number, because 106655263734843 - 218 = 106655263472699 is a prime.

It is a super-2 number, since 2×1066552637348432 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106655273734843) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27481385263 + ... + 27481389143.

It is an arithmetic number, because the mean of its divisors is an integer number (3217575245742).

Almost surely, 2106655263734843 is an apocalyptic number.

106655263734843 is a deficient number, since it is larger than the sum of its proper divisors (47788348060773).

106655263734843 is a wasteful number, since it uses less digits than its factorization.

106655263734843 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8684 (or 8681 counting only the distinct ones).

The product of its (nonzero) digits is 261273600, while the sum is 63.

The spelling of 106655263734843 in words is "one hundred six trillion, six hundred fifty-five billion, two hundred sixty-three million, seven hundred thirty-four thousand, eight hundred forty-three".

Divisors: 1 3 9 977 1187 2633 2931 3561 3881 7899 8793 10683 11643 23697 34929 1159699 2572441 3125371 3479097 3791737 4606747 7717323 9376113 10218673 10437291 11375211 13820241 23151969 28128339 30656019 34125633 41460723 91968057 3053487467 4500791819 9160462401 9983643521 12129564851 13502375457 27481387203 29950930563 36388694553 40507126371 89852791689 109166083659 11850584859427 35551754578281 106655263734843