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26216106444 = 223211193484331
BaseRepresentation
bin11000011010100110…
…100000100111001100
32111200001020012020100
4120122212200213030
5412142310401234
620013222051100
71615442141133
oct303246404714
974601205210
1026216106444
1110133343880
1250b7879a90
13261a479b28
1413a9aaa91a
15a36840399
hex61a9a09cc

26216106444 has 72 divisors (see below), whose sum is σ = 76097810880. Its totient is φ = 7526152800.

The previous prime is 26216106403. The next prime is 26216106451. The reversal of 26216106444 is 44460161262.

26216106444 is a `hidden beast` number, since 2 + 6 + 2 + 1 + 6 + 1 + 0 + 644 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 26216106399 and 26216106408.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1734642 + ... + 1749689.

It is an arithmetic number, because the mean of its divisors is an integer number (1056914040).

Almost surely, 226216106444 is an apocalyptic number.

It is an amenable number.

26216106444 is an abundant number, since it is smaller than the sum of its proper divisors (49881704436).

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

26216106444 is a wasteful number, since it uses less digits than its factorization.

26216106444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3484371 (or 3484366 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 26216106444 in words is "twenty-six billion, two hundred sixteen million, one hundred six thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 38 44 57 66 76 99 114 132 171 198 209 228 342 396 418 627 684 836 1254 1881 2508 3762 7524 3484331 6968662 10452993 13937324 20905986 31358979 38327641 41811972 62717958 66202289 76655282 114982923 125435916 132404578 153310564 198606867 229965846 264809156 344948769 397213734 459931692 595820601 689897538 728225179 794427468 1191641202 1379795076 1456450358 2184675537 2383282404 2912900716 4369351074 6554026611 8738702148 13108053222 26216106444