Search a number
-
+
25242236460 = 223257197101693
BaseRepresentation
bin10111100000100011…
…011111011000101100
32102011011201110202200
4113200203133120230
5403144003031320
615332432421500
71552345320060
oct274043373054
972134643680
1025242236460
11a783647951
124a856a7890
1324c378b2bc
141316601aa0
159cb0c1290
hex5e08df62c

25242236460 has 144 divisors (see below), whose sum is σ = 87951479616. Its totient is φ = 5740310016.

The previous prime is 25242236449. The next prime is 25242236477. The reversal of 25242236460 is 6463224252.

25242236460 is a `hidden beast` number, since 2 + 5 + 2 + 4 + 2 + 2 + 3 + 646 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 197374 + ... + 299066.

It is an arithmetic number, because the mean of its divisors is an integer number (610774164).

Almost surely, 225242236460 is an apocalyptic number.

25242236460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25242236460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43975739808).

25242236460 is an abundant number, since it is smaller than the sum of its proper divisors (62709243156).

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

25242236460 is a wasteful number, since it uses less digits than its factorization.

25242236460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101912 (or 101907 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

It can be divided in two parts, 252422 and 36460, that added together give a palindrome (288882).

The spelling of 25242236460 in words is "twenty-five billion, two hundred forty-two million, two hundred thirty-six thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 197 210 252 315 394 420 591 630 788 985 1182 1260 1379 1773 1970 2364 2758 2955 3546 3940 4137 5516 5910 6895 7092 8274 8865 11820 12411 13790 16548 17730 20685 24822 27580 35460 41370 49644 62055 82740 101693 124110 203386 248220 305079 406772 508465 610158 711851 915237 1016930 1220316 1423702 1525395 1830474 2033860 2135553 2847404 3050790 3559255 3660948 4271106 4576185 6101580 6406659 7118510 8542212 9152370 10677765 12813318 14237020 18304740 20033521 21355530 25626636 32033295 40067042 42711060 60100563 64066590 80134084 100167605 120201126 128133180 140234647 180301689 200335210 240402252 280469294 300502815 360603378 400670420 420703941 560938588 601005630 701173235 721206756 841407882 901508445 1202011260 1262111823 1402346470 1682815764 1803016890 2103519705 2524223646 2804692940 3606033780 4207039410 5048447292 6310559115 8414078820 12621118230 25242236460