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56028783616 = 2101325692
BaseRepresentation
bin110100001011100100…
…110110010000000000
312100121202001002222221
4310023210312100000
51404221332033431
641423403140424
74022305542241
oct641344662000
9170552032887
1056028783616
1121841873453
12aa37b14714
13538baa5c00
1429d72b2cc8
1516cdcb6111
hexd0b936400

56028783616 has 99 divisors (see below), whose sum is σ = 121494716931. Its totient is φ = 25813991424.

The previous prime is 56028783571. The next prime is 56028783637. The reversal of 56028783616 is 61638782065.

The square root of 56028783616 is 236704.

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 26477798400 + 29550985216 = 162720^2 + 171904^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 98468580 + ... + 98469148.

Almost surely, 256028783616 is an apocalyptic number.

56028783616 is the 236704-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56028783616

56028783616 is an abundant number, since it is smaller than the sum of its proper divisors (65465933315).

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

56028783616 is an frugal number, since it uses more digits than its factorization.

56028783616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 52.

The spelling of 56028783616 in words is "fifty-six billion, twenty-eight million, seven hundred eighty-three thousand, six hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 338 416 512 569 676 832 1024 1138 1352 1664 2276 2704 3328 4552 5408 6656 7397 9104 10816 13312 14794 18208 21632 29588 36416 43264 59176 72832 86528 96161 118352 145664 173056 192322 236704 291328 323761 384644 473408 582656 647522 769288 946816 1295044 1538576 1893632 2590088 3077152 3787264 4208893 5180176 6154304 7574528 8417786 10360352 12308608 16835572 20720704 24617216 33671144 41441408 49234432 54715609 67342288 82882816 98468864 109431218 134684576 165765632 218862436 269369152 331531264 437724872 538738304 875449744 1077476608 1750899488 2154953216 3501798976 4309906432 7003597952 14007195904 28014391808 56028783616