Base | Representation |
---|---|
bin | 100001000101100001111… |
… | …010000111010101100000 |
3 | 22001100202200122210200000 |
4 | 201011201322013111200 |
5 | 244222444130331221 |
6 | 4500303032100000 |
7 | 323160626606100 |
oct | 41054172072540 |
9 | 8040680583600 |
10 | 2273680323936 |
11 | 7a72982a498a |
12 | 3087a2b34600 |
13 | 13653a622958 |
14 | 7c092285200 |
15 | 3e224bdde26 |
hex | 21161e87560 |
2273680323936 has 864 divisors, whose sum is σ = 8310642107040. Its totient is φ = 607576080384.
The previous prime is 2273680323923. The next prime is 2273680323961. The reversal of 2273680323936 is 6393230863722.
2273680323936 is a `hidden beast` number, since 227 + 3 + 6 + 8 + 0 + 323 + 93 + 6 = 666.
It is a tau number, because it is divible by the number of its divisors (864).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a congruent number.
It is an unprimeable number.
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 143 ways as a sum of consecutive naturals, for example, 1120590570 + ... + 1120592598.
It is an arithmetic number, because the mean of its divisors is an integer number (9618798735).
Almost surely, 22273680323936 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 2273680323936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4155321053520).
2273680323936 is an abundant number, since it is smaller than the sum of its proper divisors (6036961783104).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2273680323936 is a wasteful number, since it uses less digits than its factorization.
2273680323936 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2258 (or 2231 counting only the distinct ones).
The product of its (nonzero) digits is 11757312, while the sum is 54.
The spelling of 2273680323936 in words is "two trillion, two hundred seventy-three billion, six hundred eighty million, three hundred twenty-three thousand, nine hundred thirty-six".
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