Search a number
-
+
266136503040 = 2834510492447
BaseRepresentation
bin1111011111011011111…
…0001100001100000000
3221102221111210010220000
43313312332030030000
513330021421044130
6322132244520000
725141052644062
oct3676676141400
9842844703800
10266136503040
11a2960132881
12436b46b0000
131c1341c9845
14cc49957732
156dc97c5260
hex3df6f8c300

266136503040 has 360 divisors, whose sum is σ = 953582414400. Its totient is φ = 70873104384.

The previous prime is 266136502963. The next prime is 266136503041. The reversal of 266136503040 is 40305631662.

266136503040 is a `hidden beast` number, since 2 + 6 + 613 + 6 + 5 + 0 + 30 + 4 + 0 = 666.

266136503040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

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 = 266136502986 and 266136503004.

It is not an unprimeable number, because it can be changed into a prime (266136503041) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 108759097 + ... + 108761543.

It is an arithmetic number, because the mean of its divisors is an integer number (2648840040).

Almost surely, 2266136503040 is an apocalyptic number.

266136503040 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 266136503040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476791207200).

266136503040 is an abundant number, since it is smaller than the sum of its proper divisors (687445911360).

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

266136503040 is a wasteful number, since it uses less digits than its factorization.

266136503040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3529 (or 3506 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 266136503040 in words is "two hundred sixty-six billion, one hundred thirty-six million, five hundred three thousand, forty".