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530004384000 = 2835537213107
BaseRepresentation
bin1111011011001101011…
…10010001100100000000
31212200000220202100100000
413231212232101210000
532140422110242000
61043251453200000
753202000634500
oct7554656214400
91780026670300
10530004384000
11194856726273
1286875490000
133ac963b9450
141b91c08da00
15dbbed26000
hex7b66b91900

530004384000 has 2592 divisors, whose sum is σ = 2500768722816. Its totient is φ = 110780006400.

The previous prime is 530004383983. The next prime is 530004384011. The reversal of 530004384000 is 483400035.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (2592).

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 287 ways as a sum of consecutive naturals, for example, 4953311947 + ... + 4953312053.

It is an arithmetic number, because the mean of its divisors is an integer number (964802748).

Almost surely, 2530004384000 is an apocalyptic number.

530004384000 is a gapful number since it is divisible by the number (50) 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 530004384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1250384361408).

530004384000 is an abundant number, since it is smaller than the sum of its proper divisors (1970764338816).

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

530004384000 is a wasteful number, since it uses less digits than its factorization.

530004384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 530004384000 its reverse (483400035), we get a palindrome (530487784035).

The spelling of 530004384000 in words is "five hundred thirty billion, four million, three hundred eighty-four thousand".