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530201396736 = 293611296173
BaseRepresentation
bin1111011011100100111…
…01110100011000000000
31212200112122110122000000
413231302131310120000
532141323024143421
61043323212000000
753206612340604
oct7556235643000
91780478418000
10530201396736
11194947958910
128690b460000
133acc8168b2b
141b93a2d5504
15dbd2290226
hex7b72774600

530201396736 has 1120 divisors, whose sum is σ = 1846807823520. Its totient is φ = 150493593600.

The previous prime is 530201396689. The next prime is 530201396741. The reversal of 530201396736 is 637693102035.

530201396736 is a `hidden beast` number, since 53 + 0 + 201 + 396 + 7 + 3 + 6 = 666.

It is a super-2 number, since 2×5302013967362 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 530201396691 and 530201396700.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 7263032796 + ... + 7263032868.

Almost surely, 2530201396736 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 530201396736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (923403911760).

530201396736 is an abundant number, since it is smaller than the sum of its proper divisors (1316606426784).

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

530201396736 is an equidigital number, since it uses as much as digits as its factorization.

530201396736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 45.

The spelling of 530201396736 in words is "five hundred thirty billion, two hundred one million, three hundred ninety-six thousand, seven hundred thirty-six".