Search a number
-
+
26300952240 = 2435413677283
BaseRepresentation
bin11000011111101010…
…001010111010110000
32111212221212210210020
4120133222022322300
5412331020432430
620025452403440
71620522256023
oct303752127260
974787783706
1026300952240
1110177224772
125120176580
132631c15a44
1413b70751ba
15a3deeeb10
hex61fa8aeb0

26300952240 has 160 divisors (see below), whose sum is σ = 83760638976. Its totient is φ = 6822942720.

The previous prime is 26300952191. The next prime is 26300952257. The reversal of 26300952240 is 4225900362.

It is a super-2 number, since 2×263009522402 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3607639 + ... + 3614921.

Almost surely, 226300952240 is an apocalyptic number.

26300952240 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 26300952240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41880319488).

26300952240 is an abundant number, since it is smaller than the sum of its proper divisors (57459686736).

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

26300952240 is a wasteful number, since it uses less digits than its factorization.

26300952240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7707 (or 7701 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The spelling of 26300952240 in words is "twenty-six billion, three hundred million, nine hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 120 123 164 205 240 246 328 367 410 492 615 656 734 820 984 1101 1230 1468 1640 1835 1968 2202 2460 2936 3280 3670 4404 4920 5505 5872 7283 7340 8808 9840 11010 14566 14680 15047 17616 21849 22020 29132 29360 30094 36415 43698 44040 45141 58264 60188 72830 75235 87396 88080 90282 109245 116528 120376 145660 150470 174792 180564 218490 225705 240752 291320 298603 300940 349584 361128 436980 451410 582640 597206 601880 722256 873960 895809 902820 1194412 1203760 1493015 1747920 1791618 1805640 2388824 2672861 2986030 3583236 3611280 4479045 4777648 5345722 5972060 7166472 8018583 8958090 10691444 11944120 13364305 14332944 16037166 17916180 21382888 23888240 26728610 32074332 35832360 40092915 42765776 53457220 64148664 71664720 80185830 106914440 109587301 128297328 160371660 213828880 219174602 320743320 328761903 438349204 547936505 641486640 657523806 876698408 1095873010 1315047612 1643809515 1753396816 2191746020 2630095224 3287619030 4383492040 5260190448 6575238060 8766984080 13150476120 26300952240