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10223852770576 = 247993692
BaseRepresentation
bin1001010011000110110100…
…0111001101010100010000
31100012101112212201020020001
42110301231013031110100
52320001422302124301
633424434554455344
72103435413451424
oct224615507152420
940171485636201
1010223852770576
113291a03398855
12119154b734554
1359214a104c13
14274ba1082b84
1512ae2c4c4c01
hex94c6d1cd510

10223852770576 has 15 divisors (see below), whose sum is σ = 19808739523461. Its totient is φ = 5111919990336.

The previous prime is 10223852770457. The next prime is 10223852770643. The reversal of 10223852770576 is 67507725832201.

It is a happy number.

The square root of 10223852770576 is 3197476.

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

It can be written as a sum of positive squares in only one way, i.e., 2787978236176 + 7435874534400 = 1669724^2 + 2726880^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 12390220 + ... + 13189588.

Almost surely, 210223852770576 is an apocalyptic number.

10223852770576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10223852770576 is the 3197476-th square number.

It is an amenable number.

10223852770576 is a deficient number, since it is larger than the sum of its proper divisors (9584886752885).

10223852770576 is an frugal number, since it uses more digits than its factorization.

10223852770576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1598746 (or 799371 counting only the distinct ones).

The product of its (nonzero) digits is 9878400, while the sum is 55.

The spelling of 10223852770576 in words is "ten trillion, two hundred twenty-three billion, eight hundred fifty-two million, seven hundred seventy thousand, five hundred seventy-six".

Divisors: 1 2 4 8 16 799369 1598738 3197476 6394952 12789904 638990798161 1277981596322 2555963192644 5111926385288 10223852770576