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26234221164 = 223291011514943
BaseRepresentation
bin11000011011101011…
…100111001001101100
32111201022022111221220
4120123223213021230
5412211430034124
620015110223340
71616052125544
oct303353471154
974638274856
1026234221164
1110142596718
125101954b50
1326211500b8
1413ac264324
15a3821c879
hex61bae726c

26234221164 has 96 divisors (see below), whose sum is σ = 64387491840. Its totient is φ = 8302560000.

The previous prime is 26234221127. The next prime is 26234221187. The reversal of 26234221164 is 46112243262.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5304877 + ... + 5309819.

It is an arithmetic number, because the mean of its divisors is an integer number (670703040).

Almost surely, 226234221164 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 26234221164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32193745920).

26234221164 is an abundant number, since it is smaller than the sum of its proper divisors (38153270676).

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

26234221164 is a wasteful number, since it uses less digits than its factorization.

26234221164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5231 (or 5229 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The spelling of 26234221164 in words is "twenty-six billion, two hundred thirty-four million, two hundred twenty-one thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 12 29 58 87 101 116 151 174 202 302 303 348 404 453 604 606 906 1212 1812 2929 4379 4943 5858 8758 8787 9886 11716 13137 14829 15251 17516 17574 19772 26274 29658 30502 35148 45753 52548 59316 61004 91506 143347 183012 286694 430041 442279 499243 573388 746393 860082 884558 998486 1326837 1492786 1497729 1720164 1769116 1996972 2239179 2653674 2985572 2995458 4478358 5307348 5990916 8956716 14478047 21645397 28956094 43290794 43434141 57912188 64936191 75385693 86581588 86868282 129872382 150771386 173736564 226157079 259744764 301542772 452314158 904628316 2186185097 4372370194 6558555291 8744740388 13117110582 26234221164