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26668783020 = 223511157257371
BaseRepresentation
bin11000110101100101…
…010101010110101100
32112211121000112202110
4120311211111112230
5414104202024040
620130152324020
71632606625665
oct306545252654
975747015673
1026668783020
1110345918450
1252033a3610
1326901a2ba9
14140dc6436c
15a6145b980
hex6359555ac

26668783020 has 96 divisors (see below), whose sum is σ = 81980188416. Its totient is φ = 6423955200.

The previous prime is 26668783019. The next prime is 26668783027. The reversal of 26668783020 is 2038786662.

It is a happy number.

It is a super-2 number, since 2×266687830202 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (26668783027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25066 + ... + 232305.

It is an arithmetic number, because the mean of its divisors is an integer number (853960296).

Almost surely, 226668783020 is an apocalyptic number.

26668783020 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 26668783020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40990094208).

26668783020 is an abundant number, since it is smaller than the sum of its proper divisors (55311405396).

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

26668783020 is a wasteful number, since it uses less digits than its factorization.

26668783020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257551 (or 257549 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 26668783020 in words is "twenty-six billion, six hundred sixty-eight million, seven hundred eighty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 157 165 220 314 330 471 628 660 785 942 1570 1727 1884 2355 3140 3454 4710 5181 6908 8635 9420 10362 17270 20724 25905 34540 51810 103620 257371 514742 772113 1029484 1286855 1544226 2573710 2831081 3088452 3860565 5147420 5662162 7721130 8493243 11324324 14155405 15442260 16986486 28310810 33972972 40407247 42466215 56621620 80814494 84932430 121221741 161628988 169864860 202036235 242443482 404072470 444479717 484886964 606108705 808144940 888959434 1212217410 1333439151 1777918868 2222398585 2424434820 2666878302 4444797170 5333756604 6667195755 8889594340 13334391510 26668783020