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993538471696 = 24211211812
BaseRepresentation
bin11100111010100111000…
…00011111011100010000
310111222111101220202222221
432131103200133130100
5112234231322043241
62040231505310424
7131531544445051
oct16352340373420
93458441822887
10993538471696
113533a2625061
1214067a035414
13728c86c7a04
1436132218728
151ac9e3645d1
hexe75381f710

993538471696 has 45 divisors (see below), whose sum is σ = 1935786264789. Its totient is φ = 493996238400.

The previous prime is 993538471621. The next prime is 993538471799. The reversal of 993538471696 is 696174835399.

The square root of 993538471696 is 996764.

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

993538471696 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 only one way, i.e., 911192430096 + 82346041600 = 954564^2 + 286960^2 .

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, 841268226 + ... + 841269406.

Almost surely, 2993538471696 is an apocalyptic number.

993538471696 is the 996764-th square number.

It is an amenable number.

993538471696 is a deficient number, since it is larger than the sum of its proper divisors (942247793093).

993538471696 is an frugal number, since it uses more digits than its factorization.

993538471696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2792 (or 1394 counting only the distinct ones).

The product of its digits is 264539520, while the sum is 70.

The spelling of 993538471696 in words is "nine hundred ninety-three billion, five hundred thirty-eight million, four hundred seventy-one thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 211 422 844 1181 1688 2362 3376 4724 9448 18896 44521 89042 178084 249191 356168 498382 712336 996764 1394761 1993528 2789522 3987056 5579044 11158088 22316176 52579301 105158602 210317204 294294571 420634408 588589142 841268816 1177178284 2354356568 4708713136 62096154481 124192308962 248384617924 496769235848 993538471696