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530252110080 = 28335711296871
BaseRepresentation
bin1111011011101010111…
…11010001100100000000
31212200200011220010122000
413231311133101210000
532141424020010310
61043332222544000
753211066366120
oct7556537214400
91780604803560
10530252110080
11194973546570
1286924438000
133b005813b24
141b942d36c80
15dbd695b4c0
hex7b757d1900

530252110080 has 1152 divisors, whose sum is σ = 2427212390400. Its totient is φ = 106367385600.

The previous prime is 530252110039. The next prime is 530252110099. The reversal of 530252110080 is 80011252035.

It is a happy number.

530252110080 is a `hidden beast` number, since 5 + 30 + 2 + 521 + 100 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 77169045 + ... + 77175915.

It is an arithmetic number, because the mean of its divisors is an integer number (2106955200).

Almost surely, 2530252110080 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 530252110080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1213606195200).

530252110080 is an abundant number, since it is smaller than the sum of its proper divisors (1896960280320).

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

530252110080 is a wasteful number, since it uses less digits than its factorization.

530252110080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6948 (or 6928 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 530252110080 in words is "five hundred thirty billion, two hundred fifty-two million, one hundred ten thousand, eighty".