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503313260472 = 2332114767201809
BaseRepresentation
bin1110101001011111100…
…11101101111110111000
31210010010202200210011100
413110233303231332320
531221241143313342
61023115141531400
751235400061021
oct7245763557670
91703122623140
10503313260472
111844aa23a0a0
1281666713b60
13386016c3a29
141a509291c48
15d15b954e4c
hex752fcedfb8

503313260472 has 192 divisors, whose sum is σ = 1541376345600. Its totient is φ = 147045381120.

The previous prime is 503313260467. The next prime is 503313260473. The reversal of 503313260472 is 274062313305.

503313260472 is a `hidden beast` number, since 5 + 0 + 33 + 13 + 2 + 604 + 7 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (503313260473) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2393104 + ... + 2594912.

It is an arithmetic number, because the mean of its divisors is an integer number (8028001800).

Almost surely, 2503313260472 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 503313260472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770688172800).

503313260472 is an abundant number, since it is smaller than the sum of its proper divisors (1038063085128).

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

503313260472 is a wasteful number, since it uses less digits than its factorization.

503313260472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201946 (or 201939 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

Adding to 503313260472 its reverse (274062313305), we get a palindrome (777375573777).

The spelling of 503313260472 in words is "five hundred three billion, three hundred thirteen million, two hundred sixty thousand, four hundred seventy-two".