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2534003430200 = 23521147161915137
BaseRepresentation
bin100100110111111110010…
…111111101001100111000
322222020201001111210101022
4210313332113331030320
5313004114334231300
65220034411442012
7351034652524424
oct44677627751470
98866631453338
102534003430200
11897734969710
1234b134756308
13154c562ca038
148a909ac5b84
1545dade3b285
hex24dfe5fd338

2534003430200 has 192 divisors, whose sum is σ = 6568390310400. Its totient is φ = 901233766400.

The previous prime is 2534003430199. The next prime is 2534003430223. The reversal of 2534003430200 is 20343004352.

It is a self number, because there is not a number n which added to its sum of digits gives 2534003430200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 167397032 + ... + 167412168.

It is an arithmetic number, because the mean of its divisors is an integer number (34210366200).

Almost surely, 22534003430200 is an apocalyptic number.

2534003430200 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 2534003430200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3284195155200).

2534003430200 is an abundant number, since it is smaller than the sum of its proper divisors (4034386880200).

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

2534003430200 is a wasteful number, since it uses less digits than its factorization.

2534003430200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16830 (or 16821 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 26.

Adding to 2534003430200 its reverse (20343004352), we get a palindrome (2554346434552).

The spelling of 2534003430200 in words is "two trillion, five hundred thirty-four billion, three million, four hundred thirty thousand, two hundred".