Search a number
-
+
775122063872 = 29132412732
BaseRepresentation
bin10110100011110001110…
…00000001001000000000
32202002201120220122022212
423101320320001020000
5100144422222020442
61352030335521252
7110000150556002
oct13217070011000
92662646818285
10775122063872
1127980021a102
12106282989228
135812ab10600
14297322b4372
15152691d1a82
hexb478e01200

775122063872 has 270 divisors, whose sum is σ = 1742797661121. Its totient is φ = 344241930240.

The previous prime is 775122063871. The next prime is 775122063931. The reversal of 775122063872 is 278360221577.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 14 ways, for example, as 465647923456 + 309474140416 = 682384^2 + 556304^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=622544.

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 775122063872.

It is not an unprimeable number, because it can be changed into a prime (775122063871) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 10618110428 + ... + 10618110500.

Almost surely, 2775122063872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 775122063872

775122063872 is an abundant number, since it is smaller than the sum of its proper divisors (967675597249).

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

775122063872 is an frugal number, since it uses more digits than its factorization.

775122063872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 50.

Multiplying 775122063872 by its sum of digits (50), we get a square (38756103193600 = 62254402).

The spelling of 775122063872 in words is "seven hundred seventy-five billion, one hundred twenty-two million, sixty-three thousand, eight hundred seventy-two".