Base | Representation |
---|---|
bin | 11000000101000110… |
… | …01110010100010000 |
3 | 1020100221201200210100 |
4 | 30002203032110100 |
5 | 202433442040000 |
6 | 5534445132400 |
7 | 635234360211 |
oct | 140243162420 |
9 | 36327650710 |
10 | 12927690000 |
11 | 5534386925 |
12 | 260955a100 |
13 | 12b0404914 |
14 | 8a8d05408 |
15 | 509e1ba00 |
hex | 3028ce510 |
12927690000 has 225 divisors, whose sum is σ = 45329601603. Its totient is φ = 3438288000.
The previous prime is 12927689981. The next prime is 12927690007. The reversal of 12927690000 is 9672921.
The square root of 12927690000 is 113700.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in 2 ways, for example, as 1013530896 + 11914159104 = 31836^2 + 109152^2 .
It is a tau number, because it is divible by the number of its divisors (225).
It is a super-2 number, since 2×129276900002 (a number of 21 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (12927690007) by changing a digit.
It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 34109811 + ... + 34110189.
Almost surely, 212927690000 is an apocalyptic number.
12927690000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
12927690000 is the 113700-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 12927690000
12927690000 is an abundant number, since it is smaller than the sum of its proper divisors (32401911603).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12927690000 is an frugal number, since it uses more digits than its factorization.
12927690000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 792 (or 389 counting only the distinct ones).
The product of its (nonzero) digits is 13608, while the sum is 36.
Multiplying 12927690000 by its sum of digits (36), we get a square (465396840000 = 6822002).
12927690000 divided by its sum of digits (36) gives a square (359102500 = 189502).
The spelling of 12927690000 in words is "twelve billion, nine hundred twenty-seven million, six hundred ninety thousand".
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