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537003121320 = 2332567107208073
BaseRepresentation
bin1111101000001111110…
…00010101101010101000
31220100002200010001001100
413310013320111222220
532244240244340240
61050410144321400
753540303134461
oct7640770255250
91810080101040
10537003121320
111978182981a6
12880a9313260
133b84036c733
141bdc379bd68
15de7e490e30
hex7d07e15aa8

537003121320 has 192 divisors, whose sum is σ = 1787871683520. Its totient is φ = 139744484352.

The previous prime is 537003121313. The next prime is 537003121337. The reversal of 537003121320 is 23121300735.

537003121320 is a `hidden beast` number, since 537 + 0 + 0 + 3 + 121 + 3 + 2 + 0 = 666.

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, 2476804 + ... + 2684876.

It is an arithmetic number, because the mean of its divisors is an integer number (9311831685).

Almost surely, 2537003121320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 537003121320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893935841760).

537003121320 is an abundant number, since it is smaller than the sum of its proper divisors (1250868562200).

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

537003121320 is a wasteful number, since it uses less digits than its factorization.

537003121320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208264 (or 208257 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The spelling of 537003121320 in words is "five hundred thirty-seven billion, three million, one hundred twenty-one thousand, three hundred twenty".