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26414231436 = 22334339714327
BaseRepresentation
bin11000100110011010…
…010010111110001100
32112011212000222122000
4120212122102332030
5413044020401221
620045020352300
71623366156045
oct304632227614
975155028560
1026414231436
111022516603a
1251520a5690
13264c528858
1413c81218cc
15a48e28e26
hex626692f8c

26414231436 has 96 divisors (see below), whose sum is σ = 70255342080. Its totient is φ = 8577721152.

The previous prime is 26414231419. The next prime is 26414231449. The reversal of 26414231436 is 63413241462.

26414231436 is a `hidden beast` number, since 2 + 6 + 414 + 231 + 4 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 26414231436.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1836505 + ... + 1850831.

It is an arithmetic number, because the mean of its divisors is an integer number (731826480).

Almost surely, 226414231436 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 26414231436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35127671040).

26414231436 is an abundant number, since it is smaller than the sum of its proper divisors (43841110644).

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

26414231436 is a wasteful number, since it uses less digits than its factorization.

26414231436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14780 (or 14772 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

Adding to 26414231436 its reverse (63413241462), we get a palindrome (89827472898).

The spelling of 26414231436 in words is "twenty-six billion, four hundred fourteen million, two hundred thirty-one thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 86 108 129 172 258 387 397 516 774 794 1161 1191 1548 1588 2322 2382 3573 4644 4764 7146 10719 14292 14327 17071 21438 28654 34142 42876 42981 51213 57308 68284 85962 102426 128943 153639 171924 204852 257886 307278 386829 460917 515772 614556 616061 773658 921834 1232122 1547316 1843668 1848183 2464244 3696366 5544549 5687819 7392732 11089098 11375638 16633647 17063457 22178196 22751276 33267294 34126914 51190371 66534588 68253828 102380742 153571113 204761484 244576217 307142226 489152434 614284452 733728651 978304868 1467457302 2201185953 2934914604 4402371906 6603557859 8804743812 13207115718 26414231436