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648889420462864 = 24729097612
BaseRepresentation
bin1001001110001010010101011…
…1011001111011101100010000
310011002112020000101201111111121
42103202211113121323230100
51140022401013114302424
610220023403504052024
7253451466514460200
oct22342452731735420
93132466011644447
10648889420462864
11178835504380219
126093b14a004014
1321b0c018684599
14b6345b62ac400
155004182693ee4
hex24e295767bb10

648889420462864 has 45 divisors (see below), whose sum is σ = 1462485798822261. Its totient is φ = 278095160232960.

The previous prime is 648889420462859. The next prime is 648889420462891. The reversal of 648889420462864 is 468264024988846.

The square root of 648889420462864 is 25473308.

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

648889420462864 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., 66613216302864 + 582276204160000 = 8161692^2 + 24130400^2 .

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, 712797744 + ... + 713707504.

Almost surely, 2648889420462864 is an apocalyptic number.

648889420462864 is the 25473308-th square number.

It is an amenable number.

648889420462864 is an abundant number, since it is smaller than the sum of its proper divisors (813596378359397).

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

648889420462864 is an frugal number, since it uses more digits than its factorization.

648889420462864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1819544 (or 909770 counting only the distinct ones).

The product of its (nonzero) digits is 8153726976, while the sum is 79.

The spelling of 648889420462864 in words is "six hundred forty-eight trillion, eight hundred eighty-nine billion, four hundred twenty million, four hundred sixty-two thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 909761 1819522 3639044 6368327 7278088 12736654 14556176 25473308 44578289 50946616 89156578 101893232 178313156 356626312 713252624 827665077121 1655330154242 3310660308484 5793655539847 6621320616968 11587311079694 13242641233936 23174622159388 40555588778929 46349244318776 81111177557858 92698488637552 162222355115716 324444710231432 648889420462864