Search a number
-
+
25231500405 = 355107421461
BaseRepresentation
bin10111011111111010…
…100010010001110101
32102010102112000200000
4113133322202101311
5403133231003110
615331410341513
71552155133446
oct273772422165
972112460600
1025231500405
11a778584781
124a81b8a899
1324c149c6c7
1413150092cd
159ca1a01c0
hex5dfea2475

25231500405 has 96 divisors (see below), whose sum is σ = 45986548608. Its totient is φ = 13270521600.

The previous prime is 25231500389. The next prime is 25231500407. The reversal of 25231500405 is 50400513252.

It is a happy number.

25231500405 is a `hidden beast` number, since 25 + 231 + 5 + 0 + 0 + 405 = 666.

It is not a de Polignac number, because 25231500405 - 24 = 25231500389 is a prime.

It is a super-2 number, since 2×252315004052 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25231500407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 54731875 + ... + 54732335.

It is an arithmetic number, because the mean of its divisors is an integer number (479026548).

Almost surely, 225231500405 is an apocalyptic number.

It is an amenable number.

25231500405 is a deficient number, since it is larger than the sum of its proper divisors (20755048203).

25231500405 is a wasteful number, since it uses less digits than its factorization.

25231500405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The spelling of 25231500405 in words is "twenty-five billion, two hundred thirty-one million, five hundred thousand, four hundred five".

Divisors: 1 3 5 9 15 27 45 81 107 135 243 321 405 421 461 535 963 1215 1263 1383 1605 2105 2305 2889 3789 4149 4815 6315 6915 8667 11367 12447 14445 18945 20745 26001 34101 37341 43335 45047 49327 56835 62235 102303 112023 130005 135141 147981 170505 186705 194081 225235 246635 405423 443943 511515 560115 582243 675705 739905 970405 1216269 1331829 1746729 2027115 2219715 2911215 3648807 3995487 5240187 6081345 6659145 8733645 10946421 11986461 15720561 18244035 19977435 20766667 26200935 47161683 54732105 59932305 62300001 78602805 103833335 186900003 235808415 311500005 560700009 934500015 1682100027 2803500045 5046300081 8410500135 25231500405