Search a number
-
+
26249131636 = 22721319228537
BaseRepresentation
bin11000011100100100…
…011111011001110100
32111202100101001021121
4120130210133121310
5412224234203021
620020401553324
71616322636400
oct303444373164
974670331247
1026249131636
111014aa50122
125106945844
132624270a70
1413b0226100
15a396b5741
hex61c91f674

26249131636 has 108 divisors (see below), whose sum is σ = 60736455108. Its totient is φ = 9837386496.

The previous prime is 26249131627. The next prime is 26249131697. The reversal of 26249131636 is 63613194262.

It can be written as a sum of positive squares in 2 ways, for example, as 3582022500 + 22667109136 = 59850^2 + 150556^2 .

It is a junction number, because it is equal to n+sod(n) for n = 26249131592 and 26249131601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 905560 + ... + 934096.

Almost surely, 226249131636 is an apocalyptic number.

26249131636 is a gapful number since it is divisible by the number (26) 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 26249131636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30368227554).

26249131636 is an abundant number, since it is smaller than the sum of its proper divisors (34487323472).

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

26249131636 is a wasteful number, since it uses less digits than its factorization.

26249131636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28606 (or 28578 counting only the distinct ones).

The product of its digits is 279936, while the sum is 43.

The spelling of 26249131636 in words is "twenty-six billion, two hundred forty-nine million, one hundred thirty-one thousand, six hundred thirty-six".

Divisors: 1 2 4 7 13 14 19 26 28 38 49 52 76 91 98 133 182 196 247 266 361 364 494 532 637 722 931 988 1274 1444 1729 1862 2527 2548 3458 3724 4693 5054 6916 9386 10108 12103 17689 18772 24206 28537 32851 35378 48412 57074 65702 70756 114148 131404 199759 229957 370981 399518 459914 542203 741962 799036 919828 1084406 1398313 1483924 2168812 2596867 2796626 3795421 5193734 5593252 7048639 7590842 10301857 10387468 14097278 15181684 18178069 20603714 26567947 28194556 36356138 41207428 49340473 53135894 72112999 72712276 98680946 106271788 133924141 144225998 197361892 267848282 288451996 345383311 504790993 535696564 690766622 937468987 1009581986 1381533244 1874937974 2019163972 3749875948 6562282909 13124565818 26249131636