Base | Representation |
---|---|
bin | 111100000101001011011010… |
… | …110011110100101111000000 |
3 | 1021122120222010202220201220200 |
4 | 330011023122303310233000 |
5 | 234113241223121043234 |
6 | 2333553320510205200 |
7 | 106441420023444300 |
oct | 7405133263645700 |
9 | 1248528122821820 |
10 | 264238649002944 |
11 | 77215a88747170 |
12 | 25777278ab3800 |
13 | b4597a0155375 |
14 | 493730c751600 |
15 | 20836c1142d99 |
hex | f052dacf4bc0 |
264238649002944 has 504 divisors, whose sum is σ = 979278419207088. Its totient is φ = 67338441031680.
The previous prime is 264238649002883. The next prime is 264238649002949. The reversal of 264238649002944 is 449200946832462.
It is a happy number.
264238649002944 is a `hidden beast` number, since 2 + 6 + 4 + 2 + 3 + 86 + 490 + 0 + 29 + 44 = 666.
264238649002944 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 (504).
It is a Harshad number since it is a multiple of its sum of digits (63).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (264238649002949) by changing a digit.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8425264 + ... + 24483920.
It is an arithmetic number, because the mean of its divisors is an integer number (1943012736522).
Almost surely, 2264238649002944 is an apocalyptic number.
264238649002944 is a gapful number since it is divisible by the number (24) 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 264238649002944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489639209603544).
264238649002944 is an abundant number, since it is smaller than the sum of its proper divisors (715039770204144).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
264238649002944 is a wasteful number, since it uses less digits than its factorization.
264238649002944 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 16058753 (or 16058733 counting only the distinct ones).
The product of its (nonzero) digits is 143327232, while the sum is 63.
The spelling of 264238649002944 in words is "two hundred sixty-four trillion, two hundred thirty-eight billion, six hundred forty-nine million, two thousand, nine hundred forty-four".
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