Search a number
-
+
26464360160 = 255726179029
BaseRepresentation
bin11000101001011001…
…100001011011100000
32112022100100210022102
4120221121201123200
5413144334011120
620054011025532
71624545230660
oct305131413340
975270323272
1026464360160
1110250494537
125166a3b2a8
132659a2a714
1413d0a501a0
15a4d52bd75
hex6296616e0

26464360160 has 96 divisors (see below), whose sum is σ = 71488992960. Its totient is φ = 9069023232.

The previous prime is 26464360127. The next prime is 26464360177. The reversal of 26464360160 is 6106346462.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2926526 + ... + 2935554.

It is an arithmetic number, because the mean of its divisors is an integer number (744677010).

Almost surely, 226464360160 is an apocalyptic number.

26464360160 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 26464360160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35744496480).

26464360160 is an abundant number, since it is smaller than the sum of its proper divisors (45024632800).

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

26464360160 is a wasteful number, since it uses less digits than its factorization.

26464360160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11668 (or 11660 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 38.

The spelling of 26464360160 in words is "twenty-six billion, four hundred sixty-four million, three hundred sixty thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 2617 5234 9029 10468 13085 18058 18319 20936 26170 36116 36638 41872 45145 52340 63203 72232 73276 83744 90290 91595 104680 126406 144464 146552 180580 183190 209360 252812 288928 293104 316015 361160 366380 418720 505624 586208 632030 722320 732760 1011248 1264060 1444640 1465520 2022496 2528120 2931040 5056240 10112480 23628893 47257786 94515572 118144465 165402251 189031144 236288930 330804502 378062288 472577860 661609004 756124576 827011255 945155720 1323218008 1654022510 1890311440 2646436016 3308045020 3780622880 5292872032 6616090040 13232180080 26464360160