Search a number
-
+
261432135141625 = 5372353245102201
BaseRepresentation
bin111011011100010101101001…
…100011000100100011111001
31021021122200000222221201002001
4323130111221203010203321
5233231301003044013000
62324004133114141001
7106031564010310660
oct7334255143044371
91237580028851061
10261432135141625
1176333822847228
12253a3371121761
13b2b4c3827c526
14487b5507a7dd7
1520356b308546a
hexedc5698c48f9

261432135141625 has 64 divisors (see below), whose sum is σ = 396430262332416. Its totient is φ = 168238150080000.

The previous prime is 261432135141607. The next prime is 261432135141673. The reversal of 261432135141625 is 526141531234162.

It is a happy number.

It is not a de Polignac number, because 261432135141625 - 211 = 261432135139577 is a prime.

It is a super-2 number, since 2×2614321351416252 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

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, 121484476 + ... + 123617725.

It is an arithmetic number, because the mean of its divisors is an integer number (6194222848944).

Almost surely, 2261432135141625 is an apocalyptic number.

261432135141625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

261432135141625 is a deficient number, since it is larger than the sum of its proper divisors (134998127190791).

261432135141625 is a wasteful number, since it uses less digits than its factorization.

261432135141625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245102299 (or 245102289 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 46.

Adding to 261432135141625 its reverse (526141531234162), we get a palindrome (787573666375787).

The spelling of 261432135141625 in words is "two hundred sixty-one trillion, four hundred thirty-two billion, one hundred thirty-five million, one hundred forty-one thousand, six hundred twenty-five".

Divisors: 1 5 7 23 25 35 53 115 125 161 175 265 371 575 805 875 1219 1325 1855 2875 4025 6095 6625 8533 9275 20125 30475 42665 46375 152375 213325 1066625 245102201 1225511005 1715715407 5637350623 6127555025 8578577035 12990416653 28186753115 30637775125 39461454361 42892885175 64952083265 90932916571 140933765575 197307271805 214464425875 298779583019 324760416325 454664582855 704668827875 986536359025 1493897915095 1623802081625 2091457081133 2273322914275 4932681795125 7469489575475 10457285405665 11366614571375 37347447877375 52286427028325 261432135141625