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5460905312164 = 22313237332
BaseRepresentation
bin100111101110111011101…
…0100100011111110100100
3201100001112212202220222101
41033131313110203332210
51203432413224442124
615340412200541444
71102352216163001
oct117356724437644
921301485686871
105460905312164
111815a58757395
1274243a181884
13307c65896053
1414c44873c8a8
15970b6098644
hex4f777523fa4

5460905312164 has 27 divisors (see below), whose sum is σ = 9589782982563. Its totient is φ = 2721000065472.

The previous prime is 5460905312147. The next prime is 5460905312167. The reversal of 5460905312164 is 4612135090645.

The square root of 5460905312164 is 2336858.

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 2035592734564 + 3425312577600 = 1426742^2 + 1850760^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5460905312167) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1462871242 + ... + 1462874974.

Almost surely, 25460905312164 is an apocalyptic number.

5460905312164 is the 2336858-th square number.

It is an amenable number.

5460905312164 is a deficient number, since it is larger than the sum of its proper divisors (4128877670399).

5460905312164 is an frugal number, since it uses more digits than its factorization.

5460905312164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8096 (or 4048 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 46.

The spelling of 5460905312164 in words is "five trillion, four hundred sixty billion, nine hundred five million, three hundred twelve thousand, one hundred sixty-four".

Divisors: 1 2 4 313 626 1252 3733 7466 14932 97969 195938 391876 1168429 2336858 4673716 13935289 27870578 55741156 365718277 731436554 1462873108 4361745457 8723490914 17446981828 1365226328041 2730452656082 5460905312164