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5020488205200 = 24335213217239677
BaseRepresentation
bin100100100001110110001…
…1010101000001110010000
3122202221202110021210022000
41021003230122220032100
51124223424440031300
614402214101514000
71025501243426616
oct111035432501620
918687673253260
105020488205200
1116661a4787356
12691007412900
132a5578954500
14134dc88336b6
158a8db275c00
hex490ec6a8390

5020488205200 has 1440 divisors, whose sum is σ = 20603827699200. Its totient is φ = 1156540170240.

The previous prime is 5020488205189. The next prime is 5020488205223. The reversal of 5020488205200 is 25028840205.

5020488205200 is a `hidden beast` number, since 50 + 2 + 0 + 4 + 8 + 82 + 0 + 520 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 7415787262 + ... + 7415787938.

It is an arithmetic number, because the mean of its divisors is an integer number (14308213680).

Almost surely, 25020488205200 is an apocalyptic number.

5020488205200 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 5020488205200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10301913849600).

5020488205200 is an abundant number, since it is smaller than the sum of its proper divisors (15583339494000).

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

5020488205200 is a wasteful number, since it uses less digits than its factorization.

5020488205200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The spelling of 5020488205200 in words is "five trillion, twenty billion, four hundred eighty-eight million, two hundred five thousand, two hundred".