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530400351040 = 26572255713229
BaseRepresentation
bin1111011011111100101…
…00110001001101000000
31212201001111211112222221
413231332110301031000
532142224442213130
61043355040140424
753214546411400
oct7557624611500
91781044745887
10530400351040
11194a3a19715a
1286966007714
133b02a448181
141b9588c4800
15dbe498e87a
hex7b7e531340

530400351040 has 168 divisors, whose sum is σ = 1469908195560. Its totient is φ = 181766688768.

The previous prime is 530400351017. The next prime is 530400351043. The reversal of 530400351040 is 40153004035.

It can be written as a sum of positive squares in 4 ways, for example, as 200152443456 + 330247907584 = 447384^2 + 574672^2 .

It is a junction number, because it is equal to n+sod(n) for n = 530400350996 and 530400351014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (530400351043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40087146 + ... + 40100374.

It is an arithmetic number, because the mean of its divisors is an integer number (8749453545).

Almost surely, 2530400351040 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 530400351040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734954097780).

530400351040 is an abundant number, since it is smaller than the sum of its proper divisors (939507844520).

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

530400351040 is a wasteful number, since it uses less digits than its factorization.

530400351040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15817 (or 15800 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

Adding to 530400351040 its reverse (40153004035), we get a palindrome (570553355075).

The spelling of 530400351040 in words is "five hundred thirty billion, four hundred million, three hundred fifty-one thousand, forty".