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26415256040 = 2354360725301
BaseRepresentation
bin11000100110011110…
…001101000111101000
32112011220222001010022
4120212132031013220
5413044301143130
620045054340012
71623410654165
oct304636150750
975156861108
1026415256040
11102257a5918
1251524ba608
13264c7c7024
1413c830b06c
15a4907c7e5
hex62678d1e8

26415256040 has 64 divisors (see below), whose sum is σ = 60919119360. Its totient is φ = 10302969600.

The previous prime is 26415256033. The next prime is 26415256097. The reversal of 26415256040 is 4065251462.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1031390 + ... + 1056690.

It is an arithmetic number, because the mean of its divisors is an integer number (951861240).

Almost surely, 226415256040 is an apocalyptic number.

26415256040 is a gapful number since it is divisible by the number (20) 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 26415256040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30459559680).

26415256040 is an abundant number, since it is smaller than the sum of its proper divisors (34503863320).

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

26415256040 is a wasteful number, since it uses less digits than its factorization.

26415256040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25962 (or 25958 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

The spelling of 26415256040 in words is "twenty-six billion, four hundred fifteen million, two hundred fifty-six thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 215 344 430 607 860 1214 1720 2428 3035 4856 6070 12140 24280 25301 26101 50602 52202 101204 104404 126505 130505 202408 208808 253010 261010 506020 522020 1012040 1044040 1087943 2175886 4351772 5439715 8703544 10879430 15357707 21758860 30715414 43517720 61430828 76788535 122861656 153577070 307154140 614308280 660381401 1320762802 2641525604 3301907005 5283051208 6603814010 13207628020 26415256040