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26313342516 = 223219263146273
BaseRepresentation
bin11000100000011001…
…011011111000110100
32111220211012022001100
4120200121123320310
5412342203430031
620031014130100
71621032502206
oct304031337064
974824168040
1026313342516
111018321776a
125124350930
132634663576
1413b897c776
15a4014ade6
hex62065be34

26313342516 has 72 divisors (see below), whose sum is σ = 70281731520. Its totient is φ = 8277825024.

The previous prime is 26313342511. The next prime is 26313342529. The reversal of 26313342516 is 61524331362.

26313342516 is a `hidden beast` number, since 2 + 6 + 3 + 133 + 4 + 2 + 516 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26313342511) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106756 + ... + 253028.

It is an arithmetic number, because the mean of its divisors is an integer number (976135160).

Almost surely, 226313342516 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 26313342516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35140865760).

26313342516 is an abundant number, since it is smaller than the sum of its proper divisors (43968389004).

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

26313342516 is a wasteful number, since it uses less digits than its factorization.

26313342516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146565 (or 146560 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

Adding to 26313342516 its reverse (61524331362), we get a palindrome (87837673878).

The spelling of 26313342516 in words is "twenty-six billion, three hundred thirteen million, three hundred forty-two thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 263 342 526 684 789 1052 1578 2367 3156 4734 4997 9468 9994 14991 19988 29982 44973 59964 89946 146273 179892 292546 438819 585092 877638 1316457 1755276 2632914 2779187 5265828 5558374 8337561 11116748 16675122 25012683 33350244 38469799 50025366 76939598 100050732 115409397 153879196 230818794 346228191 461637588 692456382 730926181 1384912764 1461852362 2192778543 2923704724 4385557086 6578335629 8771114172 13156671258 26313342516