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2856421617 = 3717163191257
BaseRepresentation
bin1010101001000001…
…1000100011110001
321101001212020211020
42222100120203301
521322220442432
61151235010053
7130533116550
oct25220304361
97331766736
102856421617
111236414925
12678739929
13366a2350a
141d150dd97
1511ab8222c
hexaa4188f1

2856421617 has 64 divisors (see below), whose sum is σ = 4679368704. Its totient is φ = 1512898560.

The previous prime is 2856421597. The next prime is 2856421657. The reversal of 2856421617 is 7161246582.

It is a happy number.

It is not a de Polignac number, because 2856421617 - 28 = 2856421361 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2856421657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11114353 + ... + 11114609.

It is an arithmetic number, because the mean of its divisors is an integer number (73115136).

Almost surely, 22856421617 is an apocalyptic number.

It is an amenable number.

2856421617 is a deficient number, since it is larger than the sum of its proper divisors (1822947087).

2856421617 is a wasteful number, since it uses less digits than its factorization.

2856421617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638.

The product of its digits is 161280, while the sum is 42.

The square root of 2856421617 is about 53445.5013728939. The cubic root of 2856421617 is about 1418.8640020123.

The spelling of 2856421617 in words is "two billion, eight hundred fifty-six million, four hundred twenty-one thousand, six hundred seventeen".

Divisors: 1 3 7 17 21 51 119 163 191 257 357 489 573 771 1141 1337 1799 2771 3247 3423 4011 4369 5397 8313 9741 13107 19397 22729 30583 31133 41891 49087 58191 68187 91749 93399 125673 147261 217931 293237 343609 529261 653793 712147 834479 879711 1030827 1587783 2136441 2503437 3704827 4985029 5841353 8001181 11114481 14955087 17524059 24003543 56008267 136020077 168024801 408060231 952140539 2856421617