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530132209200 = 2432521117811971
BaseRepresentation
bin1111011011011100101…
…01111000111000110000
31212200100211021112112200
413231232111320320300
532141202321143300
61043312301023200
753205112266636
oct7555625707060
91780324245480
10530132209200
111949118a2230
12868b0254b00
133acb6a23069
141b931045356
15dbcb175200
hex7b6e578e30

530132209200 has 720 divisors, whose sum is σ = 2129819432832. Its totient is φ = 120683520000.

The previous prime is 530132209171. The next prime is 530132209213. The reversal of 530132209200 is 2902231035.

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 545964715 + ... + 545965685.

Almost surely, 2530132209200 is an apocalyptic number.

530132209200 is a gapful number since it is divisible by the number (50) 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 530132209200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1064909716416).

530132209200 is an abundant number, since it is smaller than the sum of its proper divisors (1599687223632).

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

530132209200 is a wasteful number, since it uses less digits than its factorization.

530132209200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1834 (or 1820 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The spelling of 530132209200 in words is "five hundred thirty billion, one hundred thirty-two million, two hundred nine thousand, two hundred".