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288066872756 = 22135539747553
BaseRepresentation
bin1000011000100100001…
…11111010010110110100
31000112112212122100120102
410030102013322112310
514204430104412011
6340200332453232
726545365006035
oct4142207722664
91015485570512
10288066872756
11101194270173
12479b501a218
132121a7ac380
14dd2a370a8c
15775ec4c73b
hex43121fa5b4

288066872756 has 12 divisors (see below), whose sum is σ = 542895260292. Its totient is φ = 132953941248.

The previous prime is 288066872747. The next prime is 288066872759. The reversal of 288066872756 is 657278660882.

It can be written as a sum of positive squares in 2 ways, for example, as 11285662756 + 276781210000 = 106234^2 + 526100^2 .

It is a junction number, because it is equal to n+sod(n) for n = 288066872692 and 288066872701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288066872759) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2769873725 + ... + 2769873828.

It is an arithmetic number, because the mean of its divisors is an integer number (45241271691).

Almost surely, 2288066872756 is an apocalyptic number.

288066872756 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

288066872756 is a deficient number, since it is larger than the sum of its proper divisors (254828387536).

288066872756 is a wasteful number, since it uses less digits than its factorization.

288066872756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5539747570 (or 5539747568 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 65.

The spelling of 288066872756 in words is "two hundred eighty-eight billion, sixty-six million, eight hundred seventy-two thousand, seven hundred fifty-six".

Divisors: 1 2 4 13 26 52 5539747553 11079495106 22158990212 72016718189 144033436378 288066872756