| Base | Representation |
|---|---|
| bin | 10110000101011111… |
| … | …11011110001000000 |
| 3 | 1010121100120020101220 |
| 4 | 23002233323301000 |
| 5 | 143240430430224 |
| 6 | 5240330355040 |
| 7 | 566556134430 |
| oct | 130257736100 |
| 9 | 33540506356 |
| 10 | 11857280064 |
| 11 | 5035142013 |
| 12 | 236ab8ba80 |
| 13 | 116c714466 |
| 14 | 806aaa2c0 |
| 15 | 495e7d279 |
| hex | 2c2bfbc40 |
11857280064 has 112 divisors (see below), whose sum is σ = 35883494400. Its totient is φ = 3385022976.
The previous prime is 11857280063. The next prime is 11857280093. The reversal of 11857280064 is 46008275811.
11857280064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (112).
It is a super-2 number, since 2×118572800642 (a number of 21 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (42).
It is a junction number, because it is equal to n+sod(n) for n = 11857279998 and 11857280025.
It is not an unprimeable number, because it can be changed into a prime (11857280063) by changing a digit.
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 15 ways as a sum of consecutive naturals, for example, 2092467 + ... + 2098125.
Almost surely, 211857280064 is an apocalyptic number.
11857280064 is a gapful number since it is divisible by the number (14) 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 11857280064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17941747200).
11857280064 is an abundant number, since it is smaller than the sum of its proper divisors (24026214336).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11857280064 is a wasteful number, since it uses less digits than its factorization.
11857280064 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7240 (or 7230 counting only the distinct ones).
The product of its (nonzero) digits is 107520, while the sum is 42.
The spelling of 11857280064 in words is "eleven billion, eight hundred fifty-seven million, two hundred eighty thousand, sixty-four".
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