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3191396456704 = 281116532
BaseRepresentation
bin101110011100001110000…
…011010101100100000000
3102022002112220110200021211
4232130032003111210000
5404241434443103304
610442035101455504
7446366531203351
oct56341603254400
912262486420254
103191396456704
111020511111515
12436620271594
131a1c4156c651
14b06704c3d28
1558037700204
hex2e70e0d5900

3191396456704 has 27 divisors (see below), whose sum is σ = 6370383576193. Its totient is φ = 1595683936768.

The previous prime is 3191396456687. The next prime is 3191396456741. The reversal of 3191396456704 is 4076546931913.

The square root of 3191396456704 is 1786448.

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., 1281605126400 + 1909791330304 = 1132080^2 + 1381952^2 .

It is a super-2 number, since 2×31913964567042 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 28527342 + ... + 28638994.

Almost surely, 23191396456704 is an apocalyptic number.

3191396456704 is the 1786448-th square number.

It is an amenable number.

3191396456704 is a deficient number, since it is larger than the sum of its proper divisors (3178987119489).

3191396456704 is an frugal number, since it uses more digits than its factorization.

3191396456704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223322 (or 111655 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 58.

It can be divided in two parts, 3191396 and 456704, that added together give a square (3648100 = 19102).

The spelling of 3191396456704 in words is "three trillion, one hundred ninety-one billion, three hundred ninety-six million, four hundred fifty-six thousand, seven hundred four".

Divisors: 1 2 4 8 16 32 64 128 256 111653 223306 446612 893224 1786448 3572896 7145792 14291584 28583168 12466392409 24932784818 49865569636 99731139272 199462278544 398924557088 797849114176 1595698228352 3191396456704