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64832529978225 = 32525367912
BaseRepresentation
bin11101011110110111111111…
…11010110101001101110001
322111112221002111010001221100
432233123333322311031301
531444204010133300400
6345515353023115013
716440665350126332
oct1657337772651561
9274487074101840
1064832529978225
1119726359aa0599
127330b8b142a69
132a238b1bb2bc9
141201ca845c289
15776699b27100
hex3af6ffeb5371

64832529978225 has 27 divisors (see below), whose sum is σ = 116122481132619. Its totient is φ = 34577284906800.

The previous prime is 64832529978179. The next prime is 64832529978317. The reversal of 64832529978225 is 52287992523846.

The square root of 64832529978225 is 8051865.

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

64832529978225 is a `hidden beast` number, since 6 + 4 + 8 + 3 + 2 + 529 + 9 + 78 + 2 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 23339710792161 + 41492819186064 = 4831119^2 + 6441492^2 .

It is not a de Polignac number, because 64832529978225 - 227 = 64832395760497 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 120509580 + ... + 121046370.

Almost surely, 264832529978225 is an apocalyptic number.

64832529978225 is the 8051865-th square number.

64832529978225 is the 4025933-rd centered octagonal number.

It is an amenable number.

64832529978225 is a deficient number, since it is larger than the sum of its proper divisors (51289951154394).

64832529978225 is an frugal number, since it uses more digits than its factorization.

64832529978225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1073598 (or 536799 counting only the distinct ones).

The product of its digits is 1045094400, while the sum is 72.

The spelling of 64832529978225 in words is "sixty-four trillion, eight hundred thirty-two billion, five hundred twenty-nine million, nine hundred seventy-eight thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 536791 1610373 2683955 4831119 8051865 13419775 24155595 40259325 120777975 288144577681 864433733043 1440722888405 2593301199129 4322168665215 7203614442025 12966505995645 21610843326075 64832529978225