Search a number
-
+
25212358656 = 212328272
BaseRepresentation
bin10111011110110001…
…100001000000000000
32102002002111112010100
4113132301201000000
5403113330434111
615325444202400
71551533340552
oct273661410000
972062445110
1025212358656
11a7687a0251
124a77699400
1324ba529b24
1413126654d2
159c866d756
hex5dec61000

25212358656 has 117 divisors (see below), whose sum is σ = 72914979631. Its totient is φ = 8393957376.

The previous prime is 25212358637. The next prime is 25212358669. The reversal of 25212358656 is 65685321252.

The square root of 25212358656 is 158784.

It is a perfect power (a square), and thus also a powerful number.

25212358656 is a `hidden beast` number, since 2 + 5 + 2 + 12 + 3 + 586 + 56 = 666.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 30486115 + ... + 30486941.

Almost surely, 225212358656 is an apocalyptic number.

25212358656 is the 158784-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25212358656

25212358656 is an abundant number, since it is smaller than the sum of its proper divisors (47702620975).

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

25212358656 is an frugal number, since it uses more digits than its factorization.

25212358656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1684 (or 832 counting only the distinct ones).

The product of its digits is 864000, while the sum is 45.

The spelling of 25212358656 in words is "twenty-five billion, two hundred twelve million, three hundred fifty-eight thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 827 1024 1152 1536 1654 2048 2304 2481 3072 3308 4096 4608 4962 6144 6616 7443 9216 9924 12288 13232 14886 18432 19848 26464 29772 36864 39696 52928 59544 79392 105856 119088 158784 211712 238176 317568 423424 476352 635136 683929 846848 952704 1270272 1367858 1693696 1905408 2051787 2540544 2735716 3387392 3810816 4103574 5081088 5471432 6155361 7621632 8207148 10162176 10942864 12310722 15243264 16414296 21885728 24621444 30486528 32828592 43771456 49242888 65657184 87542912 98485776 131314368 175085824 196971552 262628736 350171648 393943104 525257472 700343296 787886208 1050514944 1400686592 1575772416 2101029888 2801373184 3151544832 4202059776 6303089664 8404119552 12606179328 25212358656