Search a number
-
+
2530540354020 = 2235779110968771
BaseRepresentation
bin100100110100101111111…
…101010111100111100100
322221220202201010021221120
4210310233331113213210
5312430021312312040
65214303022013540
7350553102051420
oct44645775274744
98856681107846
102530540354020
11896218071288
1234a528a172b0
131548239bb033
148a69bbb9b80
1545c59dc47d0
hex24d2ff579e4

2530540354020 has 192 divisors, whose sum is σ = 8207745638400. Its totient is φ = 570564334080.

The previous prime is 2530540353883. The next prime is 2530540354033. The reversal of 2530540354020 is 204530450352.

It is a happy number.

It is a super-3 number, since 3×25305403540203 (a number of 38 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36762235 + ... + 36831005.

It is an arithmetic number, because the mean of its divisors is an integer number (42748675200).

Almost surely, 22530540354020 is an apocalyptic number.

2530540354020 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 2530540354020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4103872819200).

2530540354020 is an abundant number, since it is smaller than the sum of its proper divisors (5677205284380).

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

2530540354020 is a wasteful number, since it uses less digits than its factorization.

2530540354020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69978 (or 69976 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 33.

The spelling of 2530540354020 in words is "two trillion, five hundred thirty billion, five hundred forty million, three hundred fifty-four thousand, twenty".