Base | Representation |
---|---|
bin | 101110100010010110… |
… | …1000100010000000000 |
3 | 100112221202221011022100 |
4 | 1131010231010100000 |
5 | 3114132322144014 |
6 | 113524350510400 |
7 | 10135346511411 |
oct | 1350455042000 |
9 | 315852834270 |
10 | 99936912384 |
11 | 39423866481 |
12 | 17450805400 |
13 | 95687212aa |
14 | 4ba091b808 |
15 | 28ed927009 |
hex | 1744b44400 |
99936912384 has 297 divisors, whose sum is σ = 299945274447. Its totient is φ = 32047792128.
The previous prime is 99936912373. The next prime is 99936912389. The reversal of 99936912384 is 48321963999.
The square root of 99936912384 is 316128.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in 4 ways, for example, as 1511654400 + 98425257984 = 38880^2 + 313728^2 .
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (99936912389) by changing a digit.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1122886612 + ... + 1122886700.
Almost surely, 299936912384 is an apocalyptic number.
99936912384 is the 316128-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 99936912384
99936912384 is an abundant number, since it is smaller than the sum of its proper divisors (200008362063).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
99936912384 is an equidigital number, since it uses as much as digits as its factorization.
99936912384 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 278 (or 131 counting only the distinct ones).
The product of its digits is 22674816, while the sum is 63.
It can be divided in two parts, 999369 and 12384, that added together give a triangular number (1011753 = T1422).
The spelling of 99936912384 in words is "ninety-nine billion, nine hundred thirty-six million, nine hundred twelve thousand, three hundred eighty-four".
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