Base | Representation |
---|---|
bin | 101000111110010110101… |
… | …011000000010110000000 |
3 | 100222011220011110021200000 |
4 | 220332112223000112000 |
5 | 332113104221404010 |
6 | 5553310144400000 |
7 | 410300310203520 |
oct | 50762653002600 |
9 | 10864804407600 |
10 | 2815731434880 |
11 | 996165a97431 |
12 | 39585a916000 |
13 | 1756a37542a0 |
14 | 9a3d4237680 |
15 | 4d39c4157c0 |
hex | 28f96ac0580 |
2815731434880 has 768 divisors, whose sum is σ = 12410137958400. Its totient is φ = 594085404672.
The previous prime is 2815731434869. The next prime is 2815731434881. The reversal of 2815731434880 is 884341375182.
2815731434880 is a `hidden beast` number, since 2 + 8 + 15 + 7 + 3 + 143 + 488 + 0 = 666.
It is a super-2 number, since 2×28157314348802 (a number of 26 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2815731434881) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14052841 + ... + 14251799.
It is an arithmetic number, because the mean of its divisors is an integer number (16159033800).
Almost surely, 22815731434880 is an apocalyptic number.
2815731434880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2815731434880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6205068979200).
2815731434880 is an abundant number, since it is smaller than the sum of its proper divisors (9594406523520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2815731434880 is a wasteful number, since it uses less digits than its factorization.
2815731434880 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 199013 (or 198989 counting only the distinct ones).
The product of its (nonzero) digits is 5160960, while the sum is 54.
The spelling of 2815731434880 in words is "two trillion, eight hundred fifteen billion, seven hundred thirty-one million, four hundred thirty-four thousand, eight hundred eighty".
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