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530525028024 = 233519107241557
BaseRepresentation
bin1111011100001011100…
…00010111111010111000
31212201101012102210200000
413232011300113322320
532143003401344044
61043415252313000
753220622222215
oct7560560277270
91781335383600
10530525028024
11194aa3602892
128699b912760
133b04a21bb34
141b96b29ab0c
15dc008bad69
hex7b85c17eb8

530525028024 has 384 divisors, whose sum is σ = 1592560569600. Its totient is φ = 164983080960.

The previous prime is 530525027983. The next prime is 530525028029. The reversal of 530525028024 is 420820525035.

It is a happy number.

530525028024 is a `hidden beast` number, since 5 + 3 + 0 + 52 + 502 + 80 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 530525028024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (530525028029) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 952468354 + ... + 952468910.

It is an arithmetic number, because the mean of its divisors is an integer number (4147293150).

Almost surely, 2530525028024 is an apocalyptic number.

530525028024 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 530525028024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796280284800).

530525028024 is an abundant number, since it is smaller than the sum of its proper divisors (1062035541576).

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

530525028024 is a wasteful number, since it uses less digits than its factorization.

530525028024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 530525028024 in words is "five hundred thirty billion, five hundred twenty-five million, twenty-eight thousand, twenty-four".