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26026242944 = 271331895669
BaseRepresentation
bin11000001111010010…
…001111001110000000
32111011210222010110212
4120033102033032000
5411300204233234
615542320413252
71610645262212
oct301722171600
974153863425
1026026242944
1110046154599
125064177228
1325ba031570
14138c7a65b2
15a24d395ce
hex60f48f380

26026242944 has 128 divisors (see below), whose sum is σ = 58296672000. Its totient is φ = 11491983360.

The previous prime is 26026242919. The next prime is 26026242947. The reversal of 26026242944 is 44924262062.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26026242947) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4588142 + ... + 4593810.

It is an arithmetic number, because the mean of its divisors is an integer number (455442750).

Almost surely, 226026242944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26026242944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29148336000).

26026242944 is an abundant number, since it is smaller than the sum of its proper divisors (32270429056).

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

26026242944 is a wasteful number, since it uses less digits than its factorization.

26026242944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5816 (or 5804 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 41.

The spelling of 26026242944 in words is "twenty-six billion, twenty-six million, two hundred forty-two thousand, nine hundred forty-four".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 89 104 124 128 178 208 248 356 403 416 496 712 806 832 992 1157 1424 1612 1664 1984 2314 2759 2848 3224 3968 4628 5518 5669 5696 6448 9256 11036 11338 11392 12896 18512 22072 22676 25792 35867 37024 44144 45352 51584 71734 73697 74048 88288 90704 143468 147394 148096 175739 176576 181408 286936 294788 351478 353152 362816 504541 573872 589576 702956 725632 1009082 1147744 1179152 1405912 2018164 2284607 2295488 2358304 2811824 4036328 4569214 4590976 4716608 5623648 6559033 8072656 9138428 9433216 11247296 13118066 15640771 16145312 18276856 22494592 26236132 31281542 32290624 36553712 52472264 62563084 64581248 73107424 104944528 125126168 146214848 203330023 209889056 250252336 292429696 406660046 419778112 500504672 813320092 839556224 1001009344 1626640184 2002018688 3253280368 6506560736 13013121472 26026242944