Search a number
-
+
265190261040 = 243451721929257
BaseRepresentation
bin1111011011111010010…
…0100100000100110000
3221100111120021001220000
43312332210210010300
513321102201323130
6321454323350000
725105443012045
oct3667644440460
9840446231800
10265190261040
11a2514a971a1
124348b822300
131c013162433
14cb9a0011cc
156d716b2260
hex3dbe924130

265190261040 has 1200 divisors, whose sum is σ = 1069566141600. Its totient is φ = 60643344384.

The previous prime is 265190261003. The next prime is 265190261101. The reversal of 265190261040 is 40162091562.

265190261040 is a `hidden beast` number, since 26 + 5 + 19 + 0 + 2 + 610 + 4 + 0 = 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 = 265190260986 and 265190261004.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1031868592 + ... + 1031868848.

It is an arithmetic number, because the mean of its divisors is an integer number (891305118).

Almost surely, 2265190261040 is an apocalyptic number.

265190261040 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 265190261040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534783070800).

265190261040 is an abundant number, since it is smaller than the sum of its proper divisors (804375880560).

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

265190261040 is a wasteful number, since it uses less digits than its factorization.

265190261040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 265190261040 in words is "two hundred sixty-five billion, one hundred ninety million, two hundred sixty-one thousand, forty".