Search a number
-
+
25706034000 = 2432531428113
BaseRepresentation
bin10111111100001100…
…101111001101010000
32110100111102211101100
4113330030233031100
5410121221042000
615450441304400
71600006453353
oct277414571520
973314384340
1025706034000
11a9a14278a9
124b94a95100
1325688a920a
14135c05229a
15a06b87a00
hex5fc32f350

25706034000 has 120 divisors (see below), whose sum is σ = 89782670952. Its totient is φ = 6854937600.

The previous prime is 25706033987. The next prime is 25706034001. The reversal of 25706034000 is 43060752.

It is a happy number.

25706034000 is a `hidden beast` number, since 2 + 57 + 0 + 603 + 4 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 546998544 + 25159035456 = 23388^2 + 158616^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25706034001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 696057 + ... + 732056.

Almost surely, 225706034000 is an apocalyptic number.

25706034000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25706034000 is an abundant number, since it is smaller than the sum of its proper divisors (64076636952).

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

25706034000 is a wasteful number, since it uses less digits than its factorization.

25706034000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1428142 (or 1428123 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

Adding to 25706034000 its reverse (43060752), we get a palindrome (25749094752).

The spelling of 25706034000 in words is "twenty-five billion, seven hundred six million, thirty-four thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 720 750 900 1000 1125 1200 1500 1800 2000 2250 3000 3600 4500 6000 9000 18000 1428113 2856226 4284339 5712452 7140565 8568678 11424904 12853017 14281130 17137356 21421695 22849808 25706034 28562260 34274712 35702825 42843390 51412068 57124520 64265085 68549424 71405650 85686780 102824136 107108475 114249040 128530170 142811300 171373560 178514125 205648272 214216950 257060340 285622600 321325425 342747120 357028250 428433900 514120680 535542375 571245200 642650850 714056500 856867800 1028241360 1071084750 1285301700 1428113000 1606627125 1713735600 2142169500 2570603400 2856226000 3213254250 4284339000 5141206800 6426508500 8568678000 12853017000 25706034000