Base | Representation |
---|---|
bin | 10101100110110001… |
… | …101110011111000100 |
3 | 2012212210021211020200 |
4 | 111212301232133010 |
5 | 340002440213342 |
6 | 14354010130500 |
7 | 1450616334630 |
oct | 254661563704 |
9 | 65783254220 |
10 | 23199147972 |
11 | 9925350270 |
12 | 45b5420a30 |
13 | 22594086c0 |
14 | 11a112bdc0 |
15 | 90ba4b94c |
hex | 566c6e7c4 |
23199147972 has 576 divisors, whose sum is σ = 85632368640. Its totient is φ = 5094835200.
The previous prime is 23199147859. The next prime is 23199147989. The reversal of 23199147972 is 27974199132.
It is a happy number.
23199147972 is a `hidden beast` number, since 2 + 3 + 19 + 91 + 479 + 72 = 666.
It is a nude number because it is divisible by every one of its digits.
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 191 ways as a sum of consecutive naturals, for example, 21224658 + ... + 21225750.
Almost surely, 223199147972 is an apocalyptic number.
23199147972 is a gapful number since it is divisible by the number (22) 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 23199147972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42816184320).
23199147972 is an abundant number, since it is smaller than the sum of its proper divisors (62433220668).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23199147972 is a wasteful number, since it uses less digits than its factorization.
23199147972 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1184 (or 1179 counting only the distinct ones).
The product of its digits is 1714608, while the sum is 54.
It can be divided in two parts, 23199 and 147972, that added together give a palindrome (171171).
The spelling of 23199147972 in words is "twenty-three billion, one hundred ninety-nine million, one hundred forty-seven thousand, nine hundred seventy-two".
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