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26106111420 = 22355312916359
BaseRepresentation
bin11000010100000010…
…111010010110111100
32111101101020212102120
4120110002322112330
5411431131031140
615554252322540
71612635200004
oct302402722674
974341225376
1026106111420
11100872459a4
125086a73450
132600746b0c
141399237004
15a2bd641d0
hex6140ba5bc

26106111420 has 96 divisors (see below), whose sum is σ = 74545712640. Its totient is φ = 6823914240.

The previous prime is 26106111407. The next prime is 26106111439. The reversal of 26106111420 is 2411160162.

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 31 ways as a sum of consecutive naturals, for example, 4102201 + ... + 4108559.

It is an arithmetic number, because the mean of its divisors is an integer number (776517840).

Almost surely, 226106111420 is an apocalyptic number.

26106111420 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 26106111420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37272856320).

26106111420 is an abundant number, since it is smaller than the sum of its proper divisors (48439601220).

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

26106111420 is a wasteful number, since it uses less digits than its factorization.

26106111420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7715 (or 7713 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 26106111420 its reverse (2411160162), we get a palindrome (28517271582).

The spelling of 26106111420 in words is "twenty-six billion, one hundred six million, one hundred eleven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 212 265 318 530 636 795 1060 1291 1590 2582 3180 3873 5164 6359 6455 7746 12718 12910 15492 19077 19365 25436 25820 31795 38154 38730 63590 68423 76308 77460 95385 127180 136846 190770 205269 273692 337027 342115 381540 410538 674054 684230 821076 1011081 1026345 1348108 1368460 1685135 2022162 2052690 3370270 4044324 4105380 5055405 6740540 8209469 10110810 16418938 20221620 24628407 32837876 41047345 49256814 82094690 98513628 123142035 164189380 246284070 435101857 492568140 870203714 1305305571 1740407428 2175509285 2610611142 4351018570 5221222284 6526527855 8702037140 13053055710 26106111420