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255635489846025 = 3252977210912
BaseRepresentation
bin111010000111111111000110…
…100100000111001100001001
31020112010111212211011110222100
4322013333012210013030021
5232001312440400033100
62303405153420144013
7104563024514256012
oct7207770644071411
91215114784143870
10255635489846025
11744a9447684053
1224807a54398009
13ac844282656b3
14471ab76436009
151e849ebd2d400
hexe87fc6907309

255635489846025 has 81 divisors (see below), whose sum is σ = 458761192167733. Its totient is φ = 136074540345600.

The previous prime is 255635489845997. The next prime is 255635489846027. The reversal of 255635489846025 is 520648984536552.

The square root of 255635489846025 is 15988605.

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

255635489846025 is a `hidden beast` number, since 2 + 5 + 5 + 6 + 3 + 5 + 4 + 8 + 9 + 8 + 4 + 602 + 5 = 666.

255635489846025 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 36386700915321 + 219248788930704 = 6032139^2 + 14807052^2 .

It is not a de Polignac number, because 255635489846025 - 235 = 255601130107657 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (255635489846027) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 234313005730 + ... + 234313006820.

Almost surely, 2255635489846025 is an apocalyptic number.

255635489846025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

255635489846025 is the 15988605-th square number.

255635489846025 is the 7994303-rd centered octagonal number.

It is an amenable number.

255635489846025 is a deficient number, since it is larger than the sum of its proper divisors (203125702321708).

255635489846025 is an frugal number, since it uses more digits than its factorization.

255635489846025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4152 (or 2076 counting only the distinct ones).

The product of its (nonzero) digits is 2488320000, while the sum is 72.

The spelling of 255635489846025 in words is "two hundred fifty-five trillion, six hundred thirty-five billion, four hundred eighty-nine million, eight hundred forty-six thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 977 1091 2931 3273 4885 5455 8793 9819 14655 16365 24425 27275 43965 49095 73275 81825 219825 245475 954529 1065907 1190281 2863587 3197721 3570843 4772645 5329535 5951405 8590761 9593163 10712529 14317935 15988605 17854215 23863225 26647675 29757025 42953805 47965815 53562645 71589675 79943025 89271075 214769025 239829075 267813225 1041391139 1162904537 3124173417 3488713611 5206955695 5814522685 9372520251 10466140833 15620867085 17443568055 26034778475 29072613425 46862601255 52330704165 78104335425 87217840275 234313006275 261653520825 1136157732649 3408473197947 5680788663245 10225419593841 17042365989735 28403943316225 51127097969205 85211829948675 255635489846025