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820199915151 = 37136710492381
BaseRepresentation
bin10111110111101111011…
…10010111111010001111
32220102002010211202021020
423323313232113322033
5101414232134241101
61424443350405223
7113154214150641
oct13736756277217
92812063752236
10820199915151
11296932518a51
12112b63360813
135c462babaa6
142b9ab00a891
151650689c136
hexbef7b97e8f

820199915151 has 16 divisors (see below), whose sum is σ = 1112024613888. Its totient is φ = 537629551200.

The previous prime is 820199915147. The next prime is 820199915179. The reversal of 820199915151 is 151519991028.

It is a happy number.

It is not a de Polignac number, because 820199915151 - 22 = 820199915147 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 820199915094 and 820199915103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820199915251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5168020 + ... + 5324361.

It is an arithmetic number, because the mean of its divisors is an integer number (69501538368).

Almost surely, 2820199915151 is an apocalyptic number.

820199915151 is a deficient number, since it is larger than the sum of its proper divisors (291824698737).

820199915151 is a wasteful number, since it uses less digits than its factorization.

820199915151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10492822.

The product of its (nonzero) digits is 291600, while the sum is 51.

The spelling of 820199915151 in words is "eight hundred twenty billion, one hundred ninety-nine million, nine hundred fifteen thousand, one hundred fifty-one".

Divisors: 1 3 71 213 367 1101 26057 78171 10492381 31477143 744959051 2234877153 3850703827 11552111481 273399971717 820199915151