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4680258525 = 3252172942193
BaseRepresentation
bin1000101101111011…
…10001001111011101
3110002011201202201100
410112331301033131
534041121233100
62052230103313
7223660353405
oct42675611735
913064652640
104680258525
111a9197a558
12aa74aab39
1359783b257
1432582d805
151c5d48400
hex116f713dd

4680258525 has 72 divisors (see below), whose sum is σ = 9182258280. Its totient is φ = 2268241920.

The previous prime is 4680258413. The next prime is 4680258529. The reversal of 4680258525 is 5258520864.

It is a happy number.

4680258525 is a `hidden beast` number, since 4 + 68 + 0 + 2 + 585 + 2 + 5 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 536246649 + 4144011876 = 23157^2 + 64374^2 .

It is not a de Polignac number, because 4680258525 - 215 = 4680225757 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4680258529) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 89829 + ... + 132021.

It is an arithmetic number, because the mean of its divisors is an integer number (127531365).

Almost surely, 24680258525 is an apocalyptic number.

4680258525 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4680258525 is a deficient number, since it is larger than the sum of its proper divisors (4501999755).

4680258525 is a wasteful number, since it uses less digits than its factorization.

4680258525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42255 (or 42247 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The square root of 4680258525 is about 68412.4149917250. The cubic root of 4680258525 is about 1672.7201209072.

The spelling of 4680258525 in words is "four billion, six hundred eighty million, two hundred fifty-eight thousand, five hundred twenty-five".

Divisors: 1 3 5 9 15 17 25 29 45 51 75 85 87 145 153 225 255 261 425 435 493 725 765 1275 1305 1479 2175 2465 3825 4437 6525 7395 12325 22185 36975 42193 110925 126579 210965 379737 632895 717281 1054825 1223597 1898685 2151843 3164475 3586405 3670791 6117985 6455529 9493425 10759215 11012373 17932025 18353955 20801149 30589925 32277645 53796075 55061865 62403447 91769775 104005745 161388225 187210341 275309325 312017235 520028725 936051705 1560086175 4680258525