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26223291978 = 23131921277333
BaseRepresentation
bin11000011011000001…
…111010111001001010
32111200112202020221020
4120123001322321022
5412201130320403
620014040053310
71615560206202
oct303301727112
974615666836
1026223291978
1110137401434
1250ba164236
13261bac4620
1413aaa1b402
15a372ae453
hex61b07ae4a

26223291978 has 96 divisors (see below), whose sum is σ = 60087638016. Its totient is φ = 7582813056.

The previous prime is 26223291973. The next prime is 26223291989. The reversal of 26223291978 is 87919232262.

It is a super-2 number, since 2×262232919782 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 26223291978.

It is not an unprimeable number, because it can be changed into a prime (26223291973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3572400 + ... + 3579732.

It is an arithmetic number, because the mean of its divisors is an integer number (625912896).

Almost surely, 226223291978 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26223291978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30043819008).

26223291978 is an abundant number, since it is smaller than the sum of its proper divisors (33864346038).

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

26223291978 is a wasteful number, since it uses less digits than its factorization.

26223291978 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7516 (or 7497 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 51.

The spelling of 26223291978 in words is "twenty-six billion, two hundred twenty-three million, two hundred ninety-one thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 114 127 247 254 361 381 494 722 741 762 1083 1482 1651 2166 2413 3302 4693 4826 4953 7239 7333 9386 9906 14079 14478 14666 21999 28158 31369 43998 45847 62738 91694 94107 95329 137541 139327 188214 190658 275082 278654 285987 417981 571974 596011 835962 931291 1192022 1788033 1811251 1862582 2647213 2793873 3576066 3622502 5294426 5433753 5587746 7941639 10867506 12106783 15883278 17694529 24213566 34413769 35389058 36320349 53083587 68827538 72640698 103241307 106167174 206482614 230028877 336196051 460057754 672392102 690086631 1008588153 1380173262 2017176306 4370548663 8741097326 13111645989 26223291978