Search a number
-
+
26185159056 = 2437417512531
BaseRepresentation
bin11000011000110000…
…011101000110010000
32111120212222220101210
4120120300131012100
5412111400042211
620010154500120
71614615115410
oct303060350620
974525886353
1026185159056
1110117926621
1250a9434640
132613c32874
1413a5932640
15a33c7a9a6
hex618c1d190

26185159056 has 160 divisors (see below), whose sum is σ = 79330922496. Its totient is φ = 7286400000.

The previous prime is 26185159027. The next prime is 26185159069. The reversal of 26185159056 is 65095158162.

It is a super-2 number, since 2×261851590562 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 26185158996 and 26185159014.

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 31 ways as a sum of consecutive naturals, for example, 10344511 + ... + 10347041.

Almost surely, 226185159056 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 26185159056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39665461248).

26185159056 is an abundant number, since it is smaller than the sum of its proper divisors (53145763440).

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

26185159056 is a wasteful number, since it uses less digits than its factorization.

26185159056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3341 (or 3335 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 48.

The spelling of 26185159056 in words is "twenty-six billion, one hundred eighty-five million, one hundred fifty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 41 42 48 56 82 84 112 123 164 168 246 287 328 336 492 574 656 751 861 984 1148 1502 1722 1968 2253 2296 2531 3004 3444 4506 4592 5062 5257 6008 6888 7593 9012 10124 10514 12016 13776 15186 15771 17717 18024 20248 21028 30372 30791 31542 35434 36048 40496 42056 53151 60744 61582 63084 70868 84112 92373 103771 106302 121488 123164 126168 141736 184746 207542 212604 215537 246328 252336 283472 311313 369492 415084 425208 431074 492656 622626 646611 726397 738984 830168 850416 862148 1245252 1293222 1452794 1477968 1660336 1724296 1900781 2179191 2490504 2586444 2905588 3448592 3801562 4358382 4981008 5172888 5702343 5811176 7603124 8716764 10345776 11404686 11622352 13305467 15206248 17433528 22809372 26610934 30412496 34867056 39916401 45618744 53221868 77932021 79832802 91237488 106443736 155864042 159665604 212887472 233796063 311728084 319331208 467592126 545524147 623456168 638662416 935184252 1091048294 1246912336 1636572441 1870368504 2182096588 3273144882 3740737008 4364193176 6546289764 8728386352 13092579528 26185159056