Base | Representation |
---|---|
bin | 1010100010001011111011… |
… | …11011000101011001001100 |
3 | 10001000112120201002222110000 |
4 | 11101011331323011121030 |
5 | 11014013124021033131 |
6 | 121133443413044300 |
7 | 4610415050646330 |
oct | 521057573053114 |
9 | 101015521088400 |
10 | 23164871267916 |
11 | 7421191a18624 |
12 | 2721610626690 |
13 | cc05903487b1 |
14 | 5a12859b97c0 |
15 | 2a2888a40ce6 |
hex | 15117dec564c |
23164871267916 has 480 divisors, whose sum is σ = 74042943004800. Its totient is φ = 6164641603584.
The previous prime is 23164871267903. The next prime is 23164871267959. The reversal of 23164871267916 is 61976217846132.
23164871267916 is a `hidden beast` number, since 2 + 3 + 1 + 6 + 487 + 1 + 2 + 67 + 91 + 6 = 666.
It is a super-2 number, since 2×231648712679162 (a number of 28 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (63).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1591314510 + ... + 1591329066.
It is an arithmetic number, because the mean of its divisors is an integer number (154256131260).
Almost surely, 223164871267916 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 23164871267916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37021471502400).
23164871267916 is an abundant number, since it is smaller than the sum of its proper divisors (50878071736884).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23164871267916 is a wasteful number, since it uses less digits than its factorization.
23164871267916 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 15023 (or 15012 counting only the distinct ones).
The product of its digits is 36578304, while the sum is 63.
It can be divided in two parts, 231648712 and 67916, that added together give a triangular number (231716628 = T21527).
The spelling of 23164871267916 in words is "twenty-three trillion, one hundred sixty-four billion, eight hundred seventy-one million, two hundred sixty-seven thousand, nine hundred sixteen".
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