Search a number
-
+
2533494263040 = 28325132337103193
BaseRepresentation
bin100100110111100000000…
…001101000110100000000
322222012101120102102100100
4210313200001220310000
5313002044012404130
65215512102322400
7351016230630156
oct44674001506400
98865346372310
102533494263040
118974a3510904
1234b012129400
13154ba49854b0
148a89c2253d6
1545d7e3b1c60
hex24de0068d00

2533494263040 has 1728 divisors, whose sum is σ = 10267706502144. Its totient is φ = 571780104192.

The previous prime is 2533494263009. The next prime is 2533494263171. The reversal of 2533494263040 is 403624943352.

2533494263040 is a `hidden beast` number, since 2 + 5 + 3 + 3 + 4 + 9 + 4 + 2 + 630 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13126913184 + ... + 13126913376.

Almost surely, 22533494263040 is an apocalyptic number.

2533494263040 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 2533494263040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5133853251072).

2533494263040 is an abundant number, since it is smaller than the sum of its proper divisors (7734212239104).

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

2533494263040 is a wasteful number, since it uses less digits than its factorization.

2533494263040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 45.

The spelling of 2533494263040 in words is "two trillion, five hundred thirty-three billion, four hundred ninety-four million, two hundred sixty-three thousand, forty".