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530235313146 = 2327112177332791
BaseRepresentation
bin1111011011101000111…
…11001100101111111010
31212200122000021202120100
413231310133030233322
532141410220010041
61043330422540230
753210503540350
oct7556437145772
91780560252510
10530235313146
11194965013800
128691a897676
133b0021b2606
141b940a037d0
15dbd523e6b6
hex7b747ccbfa

530235313146 has 288 divisors, whose sum is σ = 1530700464384. Its totient is φ = 129398860800.

The previous prime is 530235313073. The next prime is 530235313147. The reversal of 530235313146 is 641313532035.

530235313146 is a `hidden beast` number, since 5 + 30 + 23 + 531 + 31 + 46 = 666.

It is a super-2 number, since 2×5302353131462 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 530235313146.

It is not an unprimeable number, because it can be changed into a prime (530235313147) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 189979011 + ... + 189981801.

It is an arithmetic number, because the mean of its divisors is an integer number (5314932168).

Almost surely, 2530235313146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 530235313146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765350232192).

530235313146 is an abundant number, since it is smaller than the sum of its proper divisors (1000465151238).

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

530235313146 is a wasteful number, since it uses less digits than its factorization.

530235313146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3578 (or 3564 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

The spelling of 530235313146 in words is "five hundred thirty billion, two hundred thirty-five million, three hundred thirteen thousand, one hundred forty-six".