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579050990116 = 22172223812
BaseRepresentation
bin10000110110100100010…
…00001110101000100100
32001100122001121002102021
420123102020032220210
533441344023140431
61122002400152524
756556265130314
oct10332210165044
92040561532367
10579050990116
11203635208395
1294283008744
13427b1789681
1420051d25444
15100e0b43b11
hex86d220ea24

579050990116 has 27 divisors (see below), whose sum is σ = 1076501885907. Its totient is φ = 272482408320.

The previous prime is 579050990071. The next prime is 579050990117. The reversal of 579050990116 is 611099050975.

The square root of 579050990116 is 760954.

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

It can be written as a sum of positive squares in 4 ways, for example, as 87515388900 + 491535601216 = 295830^2 + 701096^2 .

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (579050990117) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 25861246 + ... + 25883626.

Almost surely, 2579050990116 is an apocalyptic number.

579050990116 is the 760954-th square number.

It is an amenable number.

579050990116 is a deficient number, since it is larger than the sum of its proper divisors (497450895791).

579050990116 is an frugal number, since it uses more digits than its factorization.

579050990116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44800 (or 22400 counting only the distinct ones).

The product of its (nonzero) digits is 765450, while the sum is 52.

It can be divided in two parts, 5790509 and 90116, that added together give a square (5880625 = 24252).

The spelling of 579050990116 in words is "five hundred seventy-nine billion, fifty million, nine hundred ninety thousand, one hundred sixteen".

Divisors: 1 2 4 17 34 68 289 578 1156 22381 44762 89524 380477 760954 1521908 6468109 12936218 25872436 500909161 1001818322 2003636644 8515455737 17030911474 34061822948 144762747529 289525495058 579050990116