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5307793938225 = 3452511972
BaseRepresentation
bin100110100111101000100…
…1011000001011100110001
3200210102100021201020110000
41031033101023001130301
51143430330222010400
615142211124500213
71055322040032462
oct115172113013461
920712307636400
105307793938225
111767028338a19
1271882954a669
132c66a483882c
14144c81a72d69
1593104275600
hex4d3d12c1731

5307793938225 has 45 divisors (see below), whose sum is σ = 9832061210257. Its totient is φ = 2830768140960.

The previous prime is 5307793938163. The next prime is 5307793938253. The reversal of 5307793938225 is 5228393977035.

It is a happy number.

The square root of 5307793938225 is 2303865.

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

5307793938225 is a `hidden beast` number, since 5 + 307 + 79 + 3 + 9 + 38 + 225 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1432313484849 + 3875480453376 = 1196793^2 + 1968624^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 5307793938225 - 239 = 4758038124337 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 103648327 + ... + 103699523.

Almost surely, 25307793938225 is an apocalyptic number.

5307793938225 is the 2303865-th square number.

5307793938225 is the 1151933-rd centered octagonal number.

It is an amenable number.

5307793938225 is a deficient number, since it is larger than the sum of its proper divisors (4524267272032).

5307793938225 is an frugal number, since it uses more digits than its factorization.

5307793938225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102416 (or 51205 counting only the distinct ones).

The product of its (nonzero) digits is 85730400, while the sum is 63.

The spelling of 5307793938225 in words is "five trillion, three hundred seven billion, seven hundred ninety-three million, nine hundred thirty-eight thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 2025 51197 153591 255985 460773 767955 1279925 1382319 2303865 3839775 4146957 6911595 11519325 20734785 34557975 103673925 2621132809 7863398427 13105664045 23590195281 39316992135 65528320225 70770585843 117950976405 196584960675 212311757529 353852929215 589754882025 1061558787645 1769264646075 5307793938225