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26740778064 = 243711132311381
BaseRepresentation
bin11000111001110111…
…111110010001010000
32120000121111021101120
4120321313332101100
5414231114344224
620141243402240
71634442602040
oct307167762120
976017437346
1026740778064
1110382521390
125223523380
1326a208c800
141419645720
15a6792d779
hex639dfe450

26740778064 has 480 divisors, whose sum is σ = 96338976768. Its totient is φ = 6200064000.

The previous prime is 26740778027. The next prime is 26740778083. The reversal of 26740778064 is 46087704762.

It is a happy number.

It is a super-2 number, since 2×267407780642 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 26740777998 and 26740778016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19362654 + ... + 19364034.

Almost surely, 226740778064 is an apocalyptic number.

26740778064 is a gapful number since it is divisible by the number (24) 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 26740778064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48169488384).

26740778064 is an abundant number, since it is smaller than the sum of its proper divisors (69598198704).

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

26740778064 is a wasteful number, since it uses less digits than its factorization.

26740778064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1467 (or 1448 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 51.

The spelling of 26740778064 in words is "twenty-six billion, seven hundred forty million, seven hundred seventy-eight thousand, sixty-four".