Base | Representation |
---|---|
bin | 1010000100100110001110… |
… | …00101000110101111001000 |
3 | 2220102100100112112120200000 |
4 | 11002103013011012233020 |
5 | 10400333443443214342 |
6 | 115034423314443000 |
7 | 4444103554342551 |
oct | 502230705065710 |
9 | 86370315476600 |
10 | 22148191382472 |
11 | 7069aa46a6941 |
12 | 2598574593460 |
13 | c487474aac6c |
14 | 567d9a1c1328 |
15 | 2861d2c8644c |
hex | 1424c7146bc8 |
22148191382472 has 384 divisors, whose sum is σ = 66087658291200. Its totient is φ = 6929454002688.
The previous prime is 22148191382459. The next prime is 22148191382509. The reversal of 22148191382472 is 27428319184122.
22148191382472 is a `hidden beast` number, since 2 + 2 + 1 + 4 + 8 + 1 + 91 + 3 + 82 + 472 = 666.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3860584788 + ... + 3860590524.
It is an arithmetic number, because the mean of its divisors is an integer number (172103276800).
Almost surely, 222148191382472 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 22148191382472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33043829145600).
22148191382472 is an abundant number, since it is smaller than the sum of its proper divisors (43939466908728).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22148191382472 is a wasteful number, since it uses less digits than its factorization.
22148191382472 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6727 (or 6711 counting only the distinct ones).
The product of its digits is 3096576, while the sum is 54.
The spelling of 22148191382472 in words is "twenty-two trillion, one hundred forty-eight billion, one hundred ninety-one million, three hundred eighty-two thousand, four hundred seventy-two".
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