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26426364016 = 24131913748809
BaseRepresentation
bin11000100111001000…
…100101000001110000
32112012200212101101211
4120213020211001300
5413110122122031
620050132405504
71623604250023
oct304710450160
975180771354
1026426364016
1110230aa2468
125156176894
132651bb5cb0
1413c999d1ba
15a4a023bb1
hex627225070

26426364016 has 80 divisors (see below), whose sum is σ = 58466570400. Its totient is φ = 11470270464.

The previous prime is 26426364011. The next prime is 26426364037. The reversal of 26426364016 is 61046362462.

It is a super-2 number, since 2×264263640162 (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 26426364016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26426364011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 517020 + ... + 565828.

It is an arithmetic number, because the mean of its divisors is an integer number (730832130).

Almost surely, 226426364016 is an apocalyptic number.

26426364016 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26426364016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29233285200).

26426364016 is an abundant number, since it is smaller than the sum of its proper divisors (32040206384).

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

26426364016 is a wasteful number, since it uses less digits than its factorization.

26426364016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48986 (or 48980 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 40.

The spelling of 26426364016 in words is "twenty-six billion, four hundred twenty-six million, three hundred sixty-four thousand, sixteen".

Divisors: 1 2 4 8 13 16 19 26 38 52 76 104 137 152 208 247 274 304 494 548 988 1096 1781 1976 2192 2603 3562 3952 5206 7124 10412 14248 20824 28496 33839 41648 48809 67678 97618 135356 195236 270712 390472 541424 634517 780944 927371 1269034 1854742 2538068 3709484 5076136 6686833 7418968 10152272 12055823 13373666 14837936 24111646 26747332 48223292 53494664 86928829 96446584 106989328 127049827 173857658 192893168 254099654 347715316 508199308 695430632 1016398616 1390861264 1651647751 2032797232 3303295502 6606591004 13213182008 26426364016