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28431018225 = 365212492
BaseRepresentation
bin11010011110100111…
…101110100011110001
32201101101222101000000
4122132213232203301
5431211320040400
621021103220213
72024355444651
oct323647564361
981341871000
1028431018225
111106a628885
1256155a7669
1328b12cc90c
141539d0a361
15b16005600
hex69e9ee8f1

28431018225 has 63 divisors (see below), whose sum is σ = 52899867633. Its totient is φ = 15151069440.

The previous prime is 28431018211. The next prime is 28431018233. The reversal of 28431018225 is 52281013482.

It is a happy number.

The square root of 28431018225 is 168615.

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

28431018225 is a `hidden beast` number, since 28 + 431 + 0 + 182 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1517959521 + 26913058704 = 38961^2 + 164052^2 .

It is not a de Polignac number, because 28431018225 - 25 = 28431018193 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 28431018225.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 22762401 + ... + 22763649.

Almost surely, 228431018225 is an apocalyptic number.

28431018225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

28431018225 is the 168615-th square number.

28431018225 is the 84308-th centered octagonal number.

It is an amenable number.

28431018225 is a deficient number, since it is larger than the sum of its proper divisors (24468849408).

28431018225 is an frugal number, since it uses more digits than its factorization.

28431018225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2526 (or 1257 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

Multiplying 28431018225 by its sum of digits (36), we get a square (1023516656100 = 10116902).

The spelling of 28431018225 in words is "twenty-eight billion, four hundred thirty-one million, eighteen thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 243 405 675 729 1215 1249 2025 3645 3747 6075 6245 11241 18225 18735 31225 33723 56205 93675 101169 168615 281025 303507 505845 843075 910521 1517535 1560001 2529225 4552605 4680003 7587675 7800005 14040009 22763025 23400015 39000025 42120027 70200045 117000075 126360081 210600135 351000225 379080243 631800405 1053000675 1137240729 1895401215 3159002025 5686203645 9477006075 28431018225