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256019616375769 = 3724324492
BaseRepresentation
bin111010001101100100110110…
…010010100010001111011001
31020120111020101021000000100101
4322031210312102202033121
5232024111133243011034
62304301442120535401
7104632543522015051
oct7215446622421731
91216436337000311
10256019616375769
1174637345032294
122486a397621561
13acb17140bc88c
1447315b63a2561
151e8e9cedc6514
hexe8d9364a23d9

256019616375769 has 9 divisors (see below), whose sum is σ = 263126686061757. Its totient is φ = 249099591262464.

The previous prime is 256019616375751. The next prime is 256019616375791. The reversal of 256019616375769 is 967573616910652.

It is a happy number.

The square root of 256019616375769 is 16000613.

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

256019616375769 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 709966334025 + 255309650041744 = 842595^2 + 15978412^2 .

It is not a de Polignac number, because 256019616375769 - 219 = 256019615851481 is a prime.

It is a super-2 number, since 2×2560196163757692 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 591806457 + ... + 592238905.

Almost surely, 2256019616375769 is an apocalyptic number.

256019616375769 is the 16000613-rd square number.

256019616375769 is the 8000307-th centered octagonal number.

It is an amenable number.

256019616375769 is a deficient number, since it is larger than the sum of its proper divisors (7107069685988).

256019616375769 is an frugal number, since it uses more digits than its factorization.

256019616375769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864972 (or 432486 counting only the distinct ones).

The product of its (nonzero) digits is 771573600, while the sum is 73.

The spelling of 256019616375769 in words is "two hundred fifty-six trillion, nineteen billion, six hundred sixteen million, three hundred seventy-five thousand, seven hundred sixty-nine".

Divisors: 1 37 1369 432449 16000613 592022681 187012137601 6919449091237 256019616375769