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26144716900 = 2252428361043
BaseRepresentation
bin11000010110010110…
…001011100001100100
32111111001220020012011
4120112112023201210
5412021021420100
620002152004004
71613614266301
oct302626134144
974431806164
1026144716900
11100a7013855
125097990604
1326087429b3
1413a04060a8
15a3043cbba
hex61658b864

26144716900 has 36 divisors (see below), whose sum is σ = 56748211632. Its totient is φ = 10455273760.

The previous prime is 26144716877. The next prime is 26144716901. The reversal of 26144716900 is 961744162.

It is a super-2 number, since 2×261447169002 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (26144716901) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 397779 + ... + 458821.

It is an arithmetic number, because the mean of its divisors is an integer number (1576339212).

Almost surely, 226144716900 is an apocalyptic number.

26144716900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26144716900 is an abundant number, since it is smaller than the sum of its proper divisors (30603494732).

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

26144716900 is a wasteful number, since it uses less digits than its factorization.

26144716900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65340 (or 65333 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

It can be divided in two parts, 26144 and 716900, that added together give a square (743044 = 8622).

The spelling of 26144716900 in words is "twenty-six billion, one hundred forty-four million, seven hundred sixteen thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 4283 8566 17132 21415 42830 61043 85660 107075 122086 214150 244172 305215 428300 610430 1220860 1526075 3052150 6104300 261447169 522894338 1045788676 1307235845 2614471690 5228943380 6536179225 13072358450 26144716900