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44771689057225 = 5213231123312
BaseRepresentation
bin10100010111000001110001…
…00111110100101111001001
312212112010112222201112210011
422023200320213310233021
521332014404344312400
6235115455140551521
712300435122601124
oct1213407047645711
9185463488645704
1044771689057225
11132a1626306069
1250310780b25a1
131bc9c4bb92300
14b0ad65bad3bb
155299337d18ba
hex28b8389f4bc9

44771689057225 has 81 divisors (see below), whose sum is σ = 60492602891637. Its totient is φ = 32856296616000.

The previous prime is 44771689057217. The next prime is 44771689057253. The reversal of 44771689057225 is 52275098617744.

The square root of 44771689057225 is 6691165.

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

44771689057225 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 4 ways, for example, as 11539969084809 + 33231719972416 = 3397053^2 + 5764696^2 .

It is not a de Polignac number, because 44771689057225 - 23 = 44771689057217 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 135261900310 + ... + 135261900640.

Almost surely, 244771689057225 is an apocalyptic number.

44771689057225 is the 6691165-th square number.

44771689057225 is the 3345583-rd centered octagonal number.

It is an amenable number.

44771689057225 is a deficient number, since it is larger than the sum of its proper divisors (15720913834412).

44771689057225 is an frugal number, since it uses more digits than its factorization.

44771689057225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 237081600, while the sum is 67.

The spelling of 44771689057225 in words is "forty-four trillion, seven hundred seventy-one billion, six hundred eighty-nine million, fifty-seven thousand, two hundred twenty-five".

Divisors: 1 5 13 25 65 169 311 325 331 845 1555 1655 4043 4225 4303 7775 8275 20215 21515 52559 55939 96721 101075 102941 107575 109561 262795 279695 483605 514705 547805 1257373 1313975 1338233 1398475 1424293 2418025 2573525 2739025 6286865 6691165 7121465 16345849 17397029 18515809 31434325 32014651 33455825 34073471 35607325 81729245 86985145 92579045 160073255 170367355 408646225 416190463 434925725 442955123 462895225 800366275 851836775 2080952315 2214775615 5410476019 5758416599 10404761575 10596849481 11073878075 27052380095 28792082995 52984247405 135261900475 137759043253 143960414975 264921237025 688795216265 1790867562289 3443976081325 8954337811445 44771689057225