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26632130004 = 223217333712689
BaseRepresentation
bin11000110011011001…
…100000110111010100
32112202001001101021100
4120303121200313110
5414020311130004
620122402550100
71631653240614
oct306331406724
975661041240
1026632130004
11103271634a7
1251b3068330
13268570b90c
141409042a44
15a5d11b739
hex633660dd4

26632130004 has 72 divisors (see below), whose sum is σ = 67915509480. Its totient is φ = 8799178752.

The previous prime is 26632130003. The next prime is 26632130051. The reversal of 26632130004 is 40003123662.

26632130004 is a `hidden beast` number, since 26 + 632 + 1 + 3 + 0 + 0 + 0 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2187432900 + 24444697104 = 46770^2 + 156348^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 26632130004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26632130003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2092492 + ... + 2105180.

It is an arithmetic number, because the mean of its divisors is an integer number (943270965).

Almost surely, 226632130004 is an apocalyptic number.

It is an amenable number.

26632130004 is an abundant number, since it is smaller than the sum of its proper divisors (41283379476).

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

26632130004 is a wasteful number, since it uses less digits than its factorization.

26632130004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13209 (or 13204 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 26632130004 its reverse (40003123662), we get a palindrome (66635253666).

The spelling of 26632130004 in words is "twenty-six billion, six hundred thirty-two million, one hundred thirty thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 173 337 346 519 674 692 1011 1038 1348 1557 2022 2076 3033 3114 4044 6066 6228 12132 12689 25378 38067 50756 58301 76134 114201 116602 152268 174903 228402 233204 349806 456804 524709 699612 1049418 2098836 2195197 4276193 4390394 6585591 8552386 8780788 12828579 13171182 17104772 19756773 25657158 26342364 38485737 39513546 51314316 76971474 79027092 153942948 739781389 1479562778 2219344167 2959125556 4438688334 6658032501 8877376668 13316065002 26632130004