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47775744000000 = 2223656
BaseRepresentation
bin10101101110011101010000…
…10000000000000000000000
320021011022112202002021000000
422313032220100000000000
522230224210431000000
6245335512424000000
713030453321363632
oct1267165020000000
9207138482067000
1047775744000000
111424a640a82315
125437314000000
13208730580ca23
14bb250343ca52
1557cb54000000
hex2b73a8400000

47775744000000 has 1127 divisors, whose sum is σ = 179074806465481. Its totient is φ = 12740198400000.

The previous prime is 47775743999993. The next prime is 47775744000209. The reversal of 47775744000000 is 44757774.

The square root of 47775744000000 is 6912000.

It is a perfect power (a square), and thus also a powerful number.

It is a Jordan-Polya number, since it can be written as (5!)6 ⋅ (2!)4.

47775744000000 is a `hidden beast` number, since 4 + 7 + 77 + 574 + 4 + 0 + 0 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 41856138215424 + 5919605784576 = 6469632^2 + 2433024^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 47775744000000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 48 ways as a sum of consecutive naturals, for example, 9555148799998 + ... + 9555148800002.

Almost surely, 247775744000000 is an apocalyptic number.

47775744000000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

47775744000000 is the 6912000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47775744000000

47775744000000 is an abundant number, since it is smaller than the sum of its proper divisors (131299062465481).

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

47775744000000 is an frugal number, since it uses more digits than its factorization.

47775744000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 768320, while the sum is 45.

Adding to 47775744000000 its reverse (44757774), we get a palindrome (47775788757774).

The spelling of 47775744000000 in words is "forty-seven trillion, seven hundred seventy-five billion, seven hundred forty-four million", and thus it is an aban number.