Base | Representation |
---|---|
bin | 1100010010001101101… |
… | …1001010000000111000 |
3 | 202011202021111221212000 |
4 | 3010203123022000320 |
5 | 11424211204001333 |
6 | 240542021021000 |
7 | 21150650004132 |
oct | 3044333120070 |
9 | 664667457760 |
10 | 211047718968 |
11 | 81560a31a59 |
12 | 34a9b554760 |
13 | 16b950b38a8 |
14 | a301454052 |
15 | 57532dc713 |
hex | 31236ca038 |
211047718968 has 128 divisors (see below), whose sum is σ = 621539956800. Its totient is φ = 66124505088.
The previous prime is 211047718961. The next prime is 211047718969. The reversal of 211047718968 is 869817740112.
211047718968 is a `hidden beast` number, since 21 + 10 + 477 + 1 + 89 + 68 = 666.
It is a super-2 number, since 2×2110477189682 (a number of 23 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 (211047718961) 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, 2801280 + ... + 2875632.
Almost surely, 2211047718968 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 211047718968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310769978400).
211047718968 is an abundant number, since it is smaller than the sum of its proper divisors (410492237832).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
211047718968 is a wasteful number, since it uses less digits than its factorization.
211047718968 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 75158 (or 75148 counting only the distinct ones).
The product of its (nonzero) digits is 1354752, while the sum is 54.
The spelling of 211047718968 in words is "two hundred eleven billion, forty-seven million, seven hundred eighteen thousand, nine hundred sixty-eight".
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