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5048573362560 = 27325721317292791
BaseRepresentation
bin100100101110111011001…
…1011000000000110000000
3122212122020202110121101100
41021131312123000012000
51130203434240100220
614423141012134400
71030514232350100
oct111356633000600
918778222417340
105048573362560
1116770a7057802
12696545007400
132a81033b9c10
141364d082d200
158b4d1c0dd90
hex497766c0180

5048573362560 has 2304 divisors, whose sum is σ = 23930228649600. Its totient is φ = 967618068480.

The previous prime is 5048573362541. The next prime is 5048573362561. The reversal of 5048573362560 is 652633758405.

5048573362560 is a `hidden beast` number, since 5 + 0 + 4 + 8 + 5 + 7 + 3 + 3 + 625 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5048573362497 and 5048573362506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5048573362561) 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 287 ways as a sum of consecutive naturals, for example, 1808874765 + ... + 1808877555.

Almost surely, 25048573362560 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 5048573362560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11965114324800).

5048573362560 is an abundant number, since it is smaller than the sum of its proper divisors (18881655287040).

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

5048573362560 is a wasteful number, since it uses less digits than its factorization.

5048573362560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2889 (or 2867 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 54.

The spelling of 5048573362560 in words is "five trillion, forty-eight billion, five hundred seventy-three million, three hundred sixty-two thousand, five hundred sixty".