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26345640240 = 2432536591167
BaseRepresentation
bin11000100010010100…
…101001000100110000
32112000001222012012100
4120202110221010300
5412423440441430
620034130300400
71621604150523
oct304224510460
975001865170
1026345640240
111019a4774a7
125133127700
13263b26134a
1413bcd88bba
15a42dca960
hex622529130

26345640240 has 60 divisors (see below), whose sum is σ = 88477444224. Its totient is φ = 7025503872.

The previous prime is 26345640193. The next prime is 26345640257. The reversal of 26345640240 is 4204654362.

26345640240 is a `hidden beast` number, since 2 + 6 + 3 + 4 + 5 + 640 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

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 = 26345640195 and 26345640204.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18294864 + ... + 18296303.

Almost surely, 226345640240 is an apocalyptic number.

26345640240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26345640240 is an abundant number, since it is smaller than the sum of its proper divisors (62131803984).

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

26345640240 is a wasteful number, since it uses less digits than its factorization.

26345640240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36591186 (or 36591177 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 26345640240 in words is "twenty-six billion, three hundred forty-five million, six hundred forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 36591167 73182334 109773501 146364668 182955835 219547002 292729336 329320503 365911670 439094004 548867505 585458672 658641006 731823340 878188008 1097735010 1317282012 1463646680 1646602515 1756376016 2195470020 2634564024 2927293360 3293205030 4390940040 5269128048 6586410060 8781880080 13172820120 26345640240