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5203140096 = 293711293741
BaseRepresentation
bin1001101100010000…
…11001111000000000
3111102121121220101110
410312020121320000
541124000440341
62220145203320
7242636650440
oct46610317000
914377556343
105203140096
112230045190
121012630540
1364bc7522b
14375060120
15206bd1216
hex136219e00

5203140096 has 640 divisors, whose sum is σ = 18808796160. Its totient is φ = 1238630400.

The previous prime is 5203140091. The next prime is 5203140097. The reversal of 5203140096 is 6900413025.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5203140091) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 126905836 + ... + 126905876.

It is an arithmetic number, because the mean of its divisors is an integer number (29388744).

Almost surely, 25203140096 is an apocalyptic number.

5203140096 is a gapful number since it is divisible by the number (56) 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 5203140096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9404398080).

5203140096 is an abundant number, since it is smaller than the sum of its proper divisors (13605656064).

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

5203140096 is a wasteful number, since it uses less digits than its factorization.

5203140096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 5203140096 is about 72132.7948716809. The cubic root of 5203140096 is about 1732.8268679401.

The spelling of 5203140096 in words is "five billion, two hundred three million, one hundred forty thousand, ninety-six".