Base | Representation |
---|---|
bin | 10100111111001011… |
… | …01101100100010000 |
3 | 1002002020121010012111 |
4 | 22133211231210100 |
5 | 141033423213104 |
6 | 5102015235104 |
7 | 546134205400 |
oct | 123745554420 |
9 | 32066533174 |
10 | 11267397904 |
11 | 48621748a4 |
12 | 2225518a94 |
13 | 10a744bc69 |
14 | 78c5d8800 |
15 | 45e2ad404 |
hex | 29f96d910 |
11267397904 has 135 divisors (see below), whose sum is σ = 27097953957. Its totient is φ = 4524452352.
The previous prime is 11267397899. The next prime is 11267397913. The reversal of 11267397904 is 40979376211.
The square root of 11267397904 is 106148.
It is a perfect power (a square), and thus also a powerful number.
11267397904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in only one way, i.e., 8772195600 + 2495202304 = 93660^2 + 49952^2 .
It is a Harshad number since it is a multiple of its sum of digits (49).
It is a Duffinian number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 50526337 + ... + 50526559.
Almost surely, 211267397904 is an apocalyptic number.
11267397904 is a gapful number since it is divisible by the number (14) formed by its first and last digit.
11267397904 is the 106148-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 11267397904
11267397904 is an abundant number, since it is smaller than the sum of its proper divisors (15830556053).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11267397904 is an equidigital number, since it uses as much as digits as its factorization.
11267397904 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 502 (or 249 counting only the distinct ones).
The product of its (nonzero) digits is 571536, while the sum is 49.
Multiplying 11267397904 by its sum of digits (49), we get a square (552102497296 = 7430362).
11267397904 divided by its sum of digits (49) gives a square (229946896 = 151642).
The spelling of 11267397904 in words is "eleven billion, two hundred sixty-seven million, three hundred ninety-seven thousand, nine hundred four".
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