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25681358052 = 22327319110889
BaseRepresentation
bin10111111010101110…
…100110110011100100
32110021210000011100100
4113322232212303210
5410043411424202
615444200344100
71566256641000
oct277256466344
973253004310
1025681358052
11a989503459
124b88775030
13256374966c
141358a6b700
15a0491141c
hex5faba6ce4

25681358052 has 144 divisors (see below), whose sum is σ = 76108032000. Its totient is φ = 7298444160.

The previous prime is 25681358041. The next prime is 25681358063. The reversal of 25681358052 is 25085318652.

25681358052 is a `hidden beast` number, since 2 + 5 + 6 + 8 + 13 + 580 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (25681358041) and next prime (25681358063).

It is a junction number, because it is equal to n+sod(n) for n = 25681357989 and 25681358007.

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, 2353024 + ... + 2363912.

It is an arithmetic number, because the mean of its divisors is an integer number (528528000).

Almost surely, 225681358052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25681358052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38054016000).

25681358052 is an abundant number, since it is smaller than the sum of its proper divisors (50426673948).

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

25681358052 is a wasteful number, since it uses less digits than its factorization.

25681358052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11111 (or 11092 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 25681358052 in words is "twenty-five billion, six hundred eighty-one million, three hundred fifty-eight thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 191 196 252 294 343 382 441 573 588 686 764 882 1029 1146 1337 1372 1719 1764 2058 2292 2674 3087 3438 4011 4116 5348 6174 6876 8022 9359 10889 12033 12348 16044 18718 21778 24066 28077 32667 37436 43556 48132 56154 65334 65513 76223 84231 98001 112308 130668 131026 152446 168462 196002 196539 228669 262052 304892 336924 392004 393078 457338 533561 589617 686007 786156 914676 1067122 1179234 1372014 1600683 2079799 2134244 2358468 2744028 3201366 3734927 4159598 4802049 6239397 6402732 7469854 8319196 9604098 11204781 12478794 14558593 14939708 18718191 19208196 22409562 24957588 29117186 33614343 37436382 43675779 44819124 58234372 67228686 74872764 87351558 101910151 131027337 134457372 174703116 203820302 262054674 305730453 407640604 524109348 611460906 713371057 917191359 1222921812 1426742114 1834382718 2140113171 2853484228 3668765436 4280226342 6420339513 8560452684 12840679026 25681358052