Search a number
-
+
25348297104 = 24321313540757
BaseRepresentation
bin10111100110111000…
…000101000110010000
32102102120021220121200
4113212320011012100
5403403131001404
615351141551200
71555103653554
oct274670050620
972376256550
1025348297104
11a8284a8879
124ab5115500
13250c744590
14132672d864
159d5571839
hex5e6e05190

25348297104 has 60 divisors (see below), whose sum is σ = 76396956636. Its totient is φ = 7799475456.

The previous prime is 25348297087. The next prime is 25348297127. The reversal of 25348297104 is 40179284352.

25348297104 is a `hidden beast` number, since 2 + 5 + 348 + 297 + 10 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15891123600 + 9457173504 = 126060^2 + 97248^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 25348297104.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6768507 + ... + 6772250.

Almost surely, 225348297104 is an apocalyptic number.

25348297104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

25348297104 is an abundant number, since it is smaller than the sum of its proper divisors (51048659532).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

25348297104 is a wasteful number, since it uses less digits than its factorization.

25348297104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13540784 (or 13540775 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 25348297104 in words is "twenty-five billion, three hundred forty-eight million, two hundred ninety-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 13540757 27081514 40622271 54163028 81244542 108326056 121866813 162489084 176029841 216652112 243733626 324978168 352059682 487467252 528089523 649956336 704119364 974934504 1056179046 1408238728 1584268569 1949869008 2112358092 2816477456 3168537138 4224716184 6337074276 8449432368 12674148552 25348297104