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2531292138280 = 23597652394881
BaseRepresentation
bin100100110101011100110…
…001001100101100101000
322221222201002201220002001
4210311130301030230220
5312433041241411110
65214505355220344
7350610531111313
oct44653461145450
98858632656061
102531292138280
1189657346a994
1234a6b87476b4
1315491368b9a9
148a72d99397a
1545ca0dc563a
hex24d5cc4cb28

2531292138280 has 32 divisors (see below), whose sum is σ = 5754122859240. Its totient is φ = 1002078535680.

The previous prime is 2531292138269. The next prime is 2531292138289. The reversal of 2531292138280 is 828312921352.

It can be written as a sum of positive squares in 4 ways, for example, as 2360899856484 + 170392281796 = 1536522^2 + 412786^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2531292138280.

It is not an unprimeable number, because it can be changed into a prime (2531292138289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 326193561 + ... + 326201320.

Almost surely, 22531292138280 is an apocalyptic number.

2531292138280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2531292138280 is an abundant number, since it is smaller than the sum of its proper divisors (3222830720960).

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

2531292138280 is a wasteful number, since it uses less digits than its factorization.

2531292138280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652394989 (or 652394985 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 46.

The spelling of 2531292138280 in words is "two trillion, five hundred thirty-one billion, two hundred ninety-two million, one hundred thirty-eight thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 97 194 388 485 776 970 1940 3880 652394881 1304789762 2609579524 3261974405 5219159048 6523948810 13047897620 26095795240 63282303457 126564606914 253129213828 316411517285 506258427656 632823034570 1265646069140 2531292138280