Base | Representation |
---|---|
bin | 1010001100001011111111… |
… | …11100101011010100100000 |
3 | 2221100021112010000122010000 |
4 | 11012011333330223110200 |
5 | 10414122103143330434 |
6 | 115354314235340000 |
7 | 4501665454440363 |
oct | 506057774532440 |
9 | 87307463018100 |
10 | 22408990995744 |
11 | 715a666241411 |
12 | 261b0198b1600 |
13 | c6720ab03162 |
14 | 57685b0200da |
15 | 28cd98c5ab99 |
hex | 14617ff2b520 |
22408990995744 has 120 divisors (see below), whose sum is σ = 65913056315568. Its totient is φ = 7468662153600.
The previous prime is 22408990995709. The next prime is 22408990995757. The reversal of 22408990995744 is 44759909980422.
22408990995744 is a `hidden beast` number, since 2 + 2 + 40 + 8 + 9 + 9 + 0 + 9 + 9 + 574 + 4 = 666.
It is a super-2 number, since 2×224089909957442 (a number of 28 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (72).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18882319 + ... + 20033969.
Almost surely, 222408990995744 is an apocalyptic number.
22408990995744 is a gapful number since it is divisible by the number (24) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 22408990995744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32956528157784).
22408990995744 is an abundant number, since it is smaller than the sum of its proper divisors (43504065319824).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22408990995744 is a wasteful number, since it uses less digits than its factorization.
22408990995744 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1159180 (or 1159163 counting only the distinct ones).
The product of its (nonzero) digits is 470292480, while the sum is 72.
The spelling of 22408990995744 in words is "twenty-two trillion, four hundred eight billion, nine hundred ninety million, nine hundred ninety-five thousand, seven hundred forty-four".
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