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264444242444448 = 253111931142379537
BaseRepresentation
bin111100001000001010111001…
…001000100100000010100000
31021200022121210221020200200020
4330020022321020210002200
5234130123302031210243
62334232001411153440
7106462315564041033
oct7410127110440240
91250277727220606
10264444242444448
117729519a8a37a0
12257ab0958a5880
13b472ca6243731
14494325365101a
152088c05693283
hexf082b92240a0

264444242444448 has 192 divisors, whose sum is σ = 799691710970880. Its totient is φ = 75672899481600.

The previous prime is 264444242444443. The next prime is 264444242444449. The reversal of 264444242444448 is 844444242444462.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 264444242444391 and 264444242444400.

It is not an unprimeable number, because it can be changed into a prime (264444242444443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14949865 + ... + 27429672.

It is an arithmetic number, because the mean of its divisors is an integer number (4165060994640).

Almost surely, 2264444242444448 is an apocalyptic number.

It is an amenable number.

264444242444448 is an abundant number, since it is smaller than the sum of its proper divisors (535247468526432).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

264444242444448 is a wasteful number, since it uses less digits than its factorization.

264444242444448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42379891 (or 42379883 counting only the distinct ones).

The product of its digits is 402653184, while the sum is 60.

The spelling of 264444242444448 in words is "two hundred sixty-four trillion, four hundred forty-four billion, two hundred forty-two million, four hundred forty-four thousand, four hundred forty-eight".