Search a number
-
+
26250547540 = 225721071391801
BaseRepresentation
bin11000011100101001…
…111001000101010100
32111202110000222112111
4120130221321011110
5412230120010130
620020452200404
71616340654400
oct303451710524
974673028474
1026250547540
1110150827998
125107309104
132624648389
1413b04b4100
15a3989502a
hex61ca79154

26250547540 has 144 divisors (see below), whose sum is σ = 65227498560. Its totient is φ = 8847014400.

The previous prime is 26250547523. The next prime is 26250547541. The reversal of 26250547540 is 4574505262.

It is a super-2 number, since 2×262505475402 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 26250547493 and 26250547502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26250547541) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14574640 + ... + 14576440.

It is an arithmetic number, because the mean of its divisors is an integer number (452968740).

Almost surely, 226250547540 is an apocalyptic number.

26250547540 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 26250547540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32613749280).

26250547540 is an abundant number, since it is smaller than the sum of its proper divisors (38976951020).

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

26250547540 is a wasteful number, since it uses less digits than its factorization.

26250547540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2070 (or 2061 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 40.

The spelling of 26250547540 in words is "twenty-six billion, two hundred fifty million, five hundred forty-seven thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 107 139 140 196 214 245 278 428 490 535 556 695 749 973 980 1070 1390 1498 1801 1946 2140 2780 2996 3602 3745 3892 4865 5243 6811 7204 7490 9005 9730 10486 12607 13622 14873 14980 18010 19460 20972 25214 26215 27244 29746 34055 36020 50428 52430 59492 63035 68110 74365 88249 104111 104860 126070 136220 148730 176498 192707 208222 250339 252140 297460 352996 385414 416444 441245 500678 520555 728777 770828 882490 963535 1001356 1041110 1251695 1348949 1457554 1752373 1764980 1927070 2082220 2503390 2697898 2915108 3504746 3643885 3854140 5006780 5395796 6744745 7009492 7287770 8761865 9442643 12266611 13489490 14575540 17523730 18885286 24533222 26786273 26978980 35047460 37770572 47213215 49066444 53572546 61333055 94426430 107145092 122666110 133931365 187503911 188852860 245332220 267862730 375007822 535725460 750015644 937519555 1312527377 1875039110 2625054754 3750078220 5250109508 6562636885 13125273770 26250547540