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530885960640 = 263257317101313
BaseRepresentation
bin1111011100110110100…
…01001110001111000000
31212202022100121002010200
413232123101032033000
532144223301220030
61043515144325200
753232564132000
oct7563321161700
91782270532120
10530885960640
11195169314902
1286a80773800
133b0a6c32229
141b9a31b2000
15dc22413d60
hex7b9b44e3c0

530885960640 has 1344 divisors, whose sum is σ = 2284339449600. Its totient is φ = 112715366400.

The previous prime is 530885960609. The next prime is 530885960651. The reversal of 530885960640 is 46069588035.

It is a happy number.

530885960640 is a `hidden beast` number, since 5 + 3 + 0 + 8 + 8 + 596 + 0 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1696121124 + ... + 1696121436.

Almost surely, 2530885960640 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 530885960640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1142169724800).

530885960640 is an abundant number, since it is smaller than the sum of its proper divisors (1753453488960).

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

530885960640 is a wasteful number, since it uses less digits than its factorization.

530885960640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 530885960640 in words is "five hundred thirty billion, eight hundred eighty-five million, nine hundred sixty thousand, six hundred forty".