Search a number
-
+
25743075345 = 345135718563
BaseRepresentation
bin10111111110011010…
…000010100000010001
32110110002010201120000
4113332122002200101
5410210211402340
615454243240213
71600636346541
oct277632024021
973402121500
1025743075345
11aa10327589
124ba5379069
132573478180
141362d35321
15a0a052d30
hex5fe682811

25743075345 has 80 divisors (see below), whose sum is σ = 49789451712. Its totient is φ = 12649841280.

The previous prime is 25743075343. The next prime is 25743075361. The reversal of 25743075345 is 54357034752.

25743075345 is a `hidden beast` number, since 2 + 574 + 3 + 0 + 75 + 3 + 4 + 5 = 666.

It is not a de Polignac number, because 25743075345 - 21 = 25743075343 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 25743075345.

It is not an unprimeable number, because it can be changed into a prime (25743075343) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3002034 + ... + 3010596.

Almost surely, 225743075345 is an apocalyptic number.

It is an amenable number.

25743075345 is a deficient number, since it is larger than the sum of its proper divisors (24046376367).

25743075345 is a wasteful number, since it uses less digits than its factorization.

25743075345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9164 (or 9155 counting only the distinct ones).

The product of its (nonzero) digits is 1764000, while the sum is 45.

The spelling of 25743075345 in words is "twenty-five billion, seven hundred forty-three million, seventy-five thousand, three hundred forty-five".

Divisors: 1 3 5 9 13 15 27 39 45 65 81 117 135 195 351 405 571 585 1053 1713 1755 2855 5139 5265 7423 8563 8565 15417 22269 25689 25695 37115 42815 46251 66807 77067 77085 111319 111345 128445 200421 231201 231255 333957 334035 385335 556595 601263 693603 1001871 1002105 1156005 1669785 3005613 3006315 3468015 4889473 5009355 9016839 14668419 15028065 24447365 44005257 45084195 63563149 73342095 132015771 190689447 220026285 317815745 396047313 572068341 660078855 953447235 1716205023 1980236565 2860341705 5148615069 8581025115 25743075345