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52958000724 = 223192931892903
BaseRepresentation
bin110001010100100010…
…101111011001010100
312001200201211011210020
4301110202233121110
51331424222010344
640154545425140
73553230402366
oct612442573124
9161621734706
1052958000724
1120506457852
12a31b63b1b0
134cbc83a705
1427c5522d36
15159e3de719
hexc548af654

52958000724 has 192 divisors, whose sum is σ = 140507136000. Its totient is φ = 15445140480.

The previous prime is 52958000723. The next prime is 52958000749. The reversal of 52958000724 is 42700085925.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52958000723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18241057 + ... + 18243959.

It is an arithmetic number, because the mean of its divisors is an integer number (731808000).

Almost surely, 252958000724 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 52958000724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70253568000).

52958000724 is an abundant number, since it is smaller than the sum of its proper divisors (87549135276).

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

52958000724 is a wasteful number, since it uses less digits than its factorization.

52958000724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3078 (or 3076 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The spelling of 52958000724 in words is "fifty-two billion, nine hundred fifty-eight million, seven hundred twenty-four", and thus it is an aban number.