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530035922400 = 2535237431271093
BaseRepresentation
bin1111011011010001001…
…10100101010111100000
31212200010010002122212220
413231220212211113200
532141003144004100
61043254541151040
753202533001255
oct7555046452740
91780103078786
10530035922400
11194872507566
1286883b5b480
133ac9caac71a
141b92233d42c
15dbc29a5aa0
hex7b689a55e0

530035922400 has 576 divisors, whose sum is σ = 1829050933248. Its totient is φ = 133145026560.

The previous prime is 530035922389. The next prime is 530035922413. The reversal of 530035922400 is 4229530035.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 484936254 + ... + 484937346.

It is an arithmetic number, because the mean of its divisors is an integer number (3175435648).

Almost surely, 2530035922400 is an apocalyptic number.

530035922400 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 530035922400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914525466624).

530035922400 is an abundant number, since it is smaller than the sum of its proper divisors (1299015010848).

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

530035922400 is a wasteful number, since it uses less digits than its factorization.

530035922400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1323 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

The spelling of 530035922400 in words is "five hundred thirty billion, thirty-five million, nine hundred twenty-two thousand, four hundred".