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39778308025 = 5211323532
BaseRepresentation
bin100101000010111110…
…001100111110111001
310210200012220102021121
4211002332030332321
51122431221324100
630135055105241
72605513016341
oct450276147671
9123605812247
1039778308025
11159628aa635
127861812221
13399c171991
141cd4d7dd21
15107c2e551a
hex942f8cfb9

39778308025 has 27 divisors (see below), whose sum is σ = 49906848199. Its totient is φ = 31451678720.

The previous prime is 39778307977. The next prime is 39778308029. The reversal of 39778308025 is 52080387793.

The square root of 39778308025 is 199445.

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

It can be written as a sum of positive squares in 13 ways, for example, as 39357401769 + 420906256 = 198387^2 + 20516^2 .

It is not a de Polignac number, because 39778308025 - 211 = 39778305977 is a prime.

It is a super-3 number, since 3×397783080253 (a number of 33 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (39778308029) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 112686249 + ... + 112686601.

Almost surely, 239778308025 is an apocalyptic number.

39778308025 is the 199445-th square number.

39778308025 is the 99723-rd centered octagonal number.

It is an amenable number.

39778308025 is a deficient number, since it is larger than the sum of its proper divisors (10128540174).

39778308025 is an frugal number, since it uses more digits than its factorization.

39778308025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 52.

The spelling of 39778308025 in words is "thirty-nine billion, seven hundred seventy-eight million, three hundred eight thousand, twenty-five".

Divisors: 1 5 25 113 353 565 1765 2825 8825 12769 39889 63845 124609 199445 319225 623045 997225 3115225 4507457 14080817 22537285 70404085 112686425 352020425 1591132321 7955661605 39778308025