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535053030400 = 2105272426541
BaseRepresentation
bin1111100100100111010…
…01010101010000000000
31220011001202200011012201
413302103221111100000
532231242033433100
61045444443202544
753441053501300
oct7622351252000
91804052604181
10535053030400
11196a0753a009
1287844216454
133b5bc34b295
141bc7a7b5600
15ddb818b36a
hex7c93a55400

535053030400 has 198 divisors, whose sum is σ = 1542823314558. Its totient is φ = 183446323200.

The previous prime is 535053030397. The next prime is 535053030401. The reversal of 535053030400 is 4030350535.

It can be written as a sum of positive squares in 3 ways, for example, as 34649588736 + 500403441664 = 186144^2 + 707392^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (535053030401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1041130 + ... + 1467670.

Almost surely, 2535053030400 is an apocalyptic number.

535053030400 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 535053030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771411657279).

535053030400 is an abundant number, since it is smaller than the sum of its proper divisors (1007770284158).

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

535053030400 is a wasteful number, since it uses less digits than its factorization.

535053030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426585 (or 426555 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 28.

Adding to 535053030400 its reverse (4030350535), we get a palindrome (539083380935).

The spelling of 535053030400 in words is "five hundred thirty-five billion, fifty-three million, thirty thousand, four hundred".