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530764874640 = 2433571113223821
BaseRepresentation
bin1111011100101000000…
…11010100001110010000
31212201222220202021101000
413232110003110032100
532144001301442030
61043455141142000
753226563665410
oct7562403241620
91781886667330
10530764874640
11195106a31130
1286a480ba900
133b087b17c00
141b991092640
15dc16996860
hex7b940d4390

530764874640 has 1920 divisors, whose sum is σ = 2578566389760. Its totient is φ = 97260134400.

The previous prime is 530764874593. The next prime is 530764874671. The reversal of 530764874640 is 46478467035.

530764874640 is a `hidden beast` number, since 5 + 30 + 76 + 4 + 87 + 464 + 0 = 666.

It is a super-2 number, since 2×5307648746402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 646485430 + ... + 646486250.

It is an arithmetic number, because the mean of its divisors is an integer number (1343003328).

Almost surely, 2530764874640 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 530764874640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1289283194880).

530764874640 is an abundant number, since it is smaller than the sum of its proper divisors (2047801515120).

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

530764874640 is a wasteful number, since it uses less digits than its factorization.

530764874640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 530764874640 in words is "five hundred thirty billion, seven hundred sixty-four million, eight hundred seventy-four thousand, six hundred forty".