Base | Representation |
---|---|
bin | 100001000011000110100… |
… | …010011010111000010000 |
3 | 22001010001000201202002110 |
4 | 201003012202122320100 |
5 | 244202124323102143 |
6 | 4455152233545320 |
7 | 323036215314216 |
oct | 41030642327020 |
9 | 8033030652073 |
10 | 2271073644048 |
11 | 7a617a957790 |
12 | 308195b75240 |
13 | 136213581411 |
14 | 7bcc5dc4cb6 |
15 | 3e120e3e533 |
hex | 210c689ae10 |
2271073644048 has 160 divisors (see below), whose sum is σ = 6747653122560. Its totient is φ = 650967045120.
The previous prime is 2271073644041. The next prime is 2271073644053. The reversal of 2271073644048 is 8404463701722.
It is a Harshad number since it is a multiple of its sum of digits (48).
It is a junction number, because it is equal to n+sod(n) for n = 2271073643988 and 2271073644006.
It is not an unprimeable number, because it can be changed into a prime (2271073644041) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6274540 + ... + 6626612.
It is an arithmetic number, because the mean of its divisors is an integer number (42172832016).
Almost surely, 22271073644048 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 2271073644048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3373826561280).
2271073644048 is an abundant number, since it is smaller than the sum of its proper divisors (4476579478512).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2271073644048 is a wasteful number, since it uses less digits than its factorization.
2271073644048 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 352757 (or 352751 counting only the distinct ones).
The product of its (nonzero) digits is 1806336, while the sum is 48.
The spelling of 2271073644048 in words is "two trillion, two hundred seventy-one billion, seventy-three million, six hundred forty-four thousand, forty-eight".
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