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26681640000 = 26354222347
BaseRepresentation
bin11000110110010110…
…011000010001000000
32112212111012202012220
4120312112120101000
5414120444440000
620131332051040
71633124124621
oct306626302100
975774182186
1026681640000
11103520aa054
125207763a80
132692a54c82
14141184da48
15a6264b1a0
hex636598440

26681640000 has 140 divisors (see below), whose sum is σ = 88216124304. Its totient is φ = 7115072000.

The previous prime is 26681639993. The next prime is 26681640001. The reversal of 26681640000 is 4618662.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (26681640001) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 8827 + ... + 231173.

Almost surely, 226681640000 is an apocalyptic number.

26681640000 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 26681640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44108062152).

26681640000 is an abundant number, since it is smaller than the sum of its proper divisors (61534484304).

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

26681640000 is an equidigital number, since it uses as much as digits as its factorization.

26681640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222382 (or 222357 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 26681640000 in words is "twenty-six billion, six hundred eighty-one million, six hundred forty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 150 160 192 200 240 250 300 320 375 400 480 500 600 625 750 800 960 1000 1200 1250 1500 1600 1875 2000 2400 2500 3000 3750 4000 4800 5000 6000 7500 8000 10000 12000 15000 20000 24000 30000 40000 60000 120000 222347 444694 667041 889388 1111735 1334082 1778776 2223470 2668164 3335205 3557552 4446940 5336328 5558675 6670410 7115104 8893880 10672656 11117350 13340820 14230208 16676025 17787760 21345312 22234700 26681640 27793375 33352050 35575520 42690624 44469400 53363280 55586750 66704100 71151040 83380125 88938800 106726560 111173500 133408200 138966875 166760250 177877600 213453120 222347000 266816400 277933750 333520500 355755200 416900625 444694000 533632800 555867500 667041000 833801250 889388000 1067265600 1111735000 1334082000 1667602500 1778776000 2223470000 2668164000 3335205000 4446940000 5336328000 6670410000 8893880000 13340820000 26681640000