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764949648996 = 2232132112132
BaseRepresentation
bin10110010000110101000…
…11010101011001100100
32201010110122201102110100
423020122203111121210
5100013104102231441
61343225113424100
7106160110506531
oct13103243253144
92633418642410
10764949648996
11275460153265
1210430410b030
13571994a6900
14290492add88
1514d71117cb6
hexb21a8d5664

764949648996 has 81 divisors (see below), whose sum is σ = 2093991234699. Its totient is φ = 235348132032.

The previous prime is 764949648989. The next prime is 764949648997. The reversal of 764949648996 is 699846949467.

The square root of 764949648996 is 874614.

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

764949648996 is a `hidden beast` number, since 7 + 6 + 4 + 9 + 49 + 6 + 489 + 96 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 524300535396 + 240649113600 = 724086^2 + 490560^2 .

It is not an unprimeable number, because it can be changed into a prime (764949648997) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 68214286 + ... + 68225498.

Almost surely, 2764949648996 is an apocalyptic number.

764949648996 is the 874614-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 764949648996

764949648996 is an abundant number, since it is smaller than the sum of its proper divisors (1329041585703).

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

764949648996 is a wasteful number, since it uses less digits than its factorization.

764949648996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22462 (or 11231 counting only the distinct ones).

The product of its digits is 5079158784, while the sum is 81.

Multiplying 764949648996 by its sum of digits (81), we get a square (61960921568676 = 78715262).

The spelling of 764949648996 in words is "seven hundred sixty-four billion, nine hundred forty-nine million, six hundred forty-eight thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 468 507 676 1014 1521 2028 3042 6084 11213 22426 33639 44852 67278 100917 134556 145769 201834 291538 403668 437307 583076 874614 1311921 1749228 1894997 2623842 3789994 5247684 5684991 7579988 11369982 17054973 22739964 34109946 68219892 125731369 251462738 377194107 502925476 754388214 1131582321 1508776428 1634507797 2263164642 3269015594 4526329284 4903523391 6538031188 9807046782 14710570173 19614093564 21248601361 29421140346 42497202722 58842280692 63745804083 84994405444 127491608166 191237412249 254983216332 382474824498 764949648996