Base | Representation |
---|---|
bin | 11101110010101010011… |
… | …000011000010100000000 |
3 | 21020201100021102111202000 |
4 | 131302222120120110000 |
5 | 232020243303410111 |
6 | 4204255530024000 |
7 | 300624040646100 |
oct | 35625230302400 |
9 | 7221307374660 |
10 | 2047262950656 |
11 | 71a26a622190 |
12 | 290934278000 |
13 | 11b096247b71 |
14 | 711338a5200 |
15 | 383c241ec56 |
hex | 1dcaa618500 |
2047262950656 has 432 divisors, whose sum is σ = 7682789177280. Its totient is φ = 531755642880.
The previous prime is 2047262950639. The next prime is 2047262950673. The reversal of 2047262950656 is 6560592627402.
2047262950656 is a `hidden beast` number, since 2 + 0 + 4 + 7 + 2 + 629 + 5 + 0 + 6 + 5 + 6 = 666.
It is an interprime number because it is at equal distance from previous prime (2047262950639) and next prime (2047262950673).
It is a tau number, because it is divible by the number of its divisors (432).
It is a super-2 number, since 2×20472629506562 (a number of 25 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 an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3450810 + ... + 4000326.
Almost surely, 22047262950656 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 2047262950656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3841394588640).
2047262950656 is an abundant number, since it is smaller than the sum of its proper divisors (5635526226624).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2047262950656 is a wasteful number, since it uses less digits than its factorization.
2047262950656 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 549567 (or 549540 counting only the distinct ones).
The product of its (nonzero) digits is 10886400, while the sum is 54.
The spelling of 2047262950656 in words is "two trillion, forty-seven billion, two hundred sixty-two million, nine hundred fifty thousand, six hundred fifty-six".
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