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52349316096 = 210371133159
BaseRepresentation
bin110000110000010000…
…110010110000000000
312000010022110210110010
4300300100302300000
51324202411103341
640014323304520
73532156562550
oct606020626000
9160108423403
1052349316096
1120223908000
12a18b81b140
134c236c0bac
142768759160
151565c58716
hexc30432c00

52349316096 has 704 divisors, whose sum is σ = 184123883520. Its totient is φ = 12935577600.

The previous prime is 52349316091. The next prime is 52349316133. The reversal of 52349316096 is 69061394325.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (52349316091) 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, 887276515 + ... + 887276573.

Almost surely, 252349316096 is an apocalyptic number.

52349316096 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 52349316096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92061941760).

52349316096 is an abundant number, since it is smaller than the sum of its proper divisors (131774567424).

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

52349316096 is a wasteful number, since it uses less digits than its factorization.

52349316096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 48.

The spelling of 52349316096 in words is "fifty-two billion, three hundred forty-nine million, three hundred sixteen thousand, ninety-six".