Search a number
-
+
30398109625 = 5313197269353
BaseRepresentation
bin11100010011110111…
…100101011110111001
32220110111101222010001
4130103313211132321
5444223404002000
621544212553001
72124202445212
oct342367453671
986414358101
1030398109625
1111989a38754
125a84322761
132b359c4120
14168527a409
15bcda6746a
hex713de57b9

30398109625 has 64 divisors (see below), whose sum is σ = 41331850560. Its totient is φ = 22187827200.

The previous prime is 30398109607. The next prime is 30398109641. The reversal of 30398109625 is 52690189303.

It is a happy number.

It can be written as a sum of positive squares in 32 ways, for example, as 30397573801 + 535824 = 174349^2 + 732^2 .

It is not a de Polignac number, because 30398109625 - 227 = 30263891897 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 86113449 + ... + 86113801.

It is an arithmetic number, because the mean of its divisors is an integer number (645810165).

Almost surely, 230398109625 is an apocalyptic number.

It is an amenable number.

30398109625 is a deficient number, since it is larger than the sum of its proper divisors (10933740935).

30398109625 is a wasteful number, since it uses less digits than its factorization.

30398109625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 847 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 46.

The spelling of 30398109625 in words is "thirty billion, three hundred ninety-eight million, one hundred nine thousand, six hundred twenty-five".

Divisors: 1 5 13 25 65 125 197 269 325 353 985 1345 1625 1765 2561 3497 4589 4925 6725 8825 12805 17485 22945 24625 33625 44125 52993 64025 69541 87425 94957 114725 264965 320125 347705 437125 474785 573625 688909 904033 1234441 1324825 1738525 2373925 3444545 4520165 6172205 6624125 8692625 11869625 17222725 18706529 22600825 30861025 86113625 93532645 113004125 154305125 243184877 467663225 1215924385 2338316125 6079621925 30398109625