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811105906657 = 3789246312149
BaseRepresentation
bin10111100110110011010…
…11011110111111100001
32212112121100212020211211
423303121223132333201
5101242121103003112
61420341130310121
7112412650310434
oct13633153367741
92775540766754
10811105906657
11292a96158852
12111245888341
135b643b05187
142b38732381b
15161733010a7
hexbcd9adefe1

811105906657 has 8 divisors (see below), whose sum is σ = 842387553000. Its totient is φ = 780316884864.

The previous prime is 811105906619. The next prime is 811105906687. The reversal of 811105906657 is 756609501118.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 21849569856 + 789256336801 = 147816^2 + 888401^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 811105906657 - 27 = 811105906529 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 811105906657.

It is not an unprimeable number, because it can be changed into a prime (811105906687) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 123152782 + ... + 123159367.

It is an arithmetic number, because the mean of its divisors is an integer number (105298444125).

Almost surely, 2811105906657 is an apocalyptic number.

It is an amenable number.

811105906657 is a deficient number, since it is larger than the sum of its proper divisors (31281646343).

811105906657 is a wasteful number, since it uses less digits than its factorization.

811105906657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246312275.

The product of its (nonzero) digits is 453600, while the sum is 49.

The spelling of 811105906657 in words is "eight hundred eleven billion, one hundred five million, nine hundred six thousand, six hundred fifty-seven".

Divisors: 1 37 89 3293 246312149 9113549513 21921781261 811105906657