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5247879974064 = 243271329731011873
BaseRepresentation
bin100110001011101111000…
…0001011000110010110000
3200120200200210000111200100
41030113132001120302300
51141440124233132224
615054502012352400
71051101233530230
oct114273601306260
920520623014610
105247879974064
111743682484962
127090a8475700
132c0b46b73130
14141dda7b7cc0
1591799369ac9
hex4c5de058cb0

5247879974064 has 960 divisors, whose sum is σ = 19153396604160. Its totient is φ = 1304277811200.

The previous prime is 5247879974047. The next prime is 5247879974179. The reversal of 5247879974064 is 4604799787425.

5247879974064 is a `hidden beast` number, since 5 + 2 + 478 + 7 + 9 + 97 + 4 + 0 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 5247879973983 and 5247879974001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2801857032 + ... + 2801858904.

It is an arithmetic number, because the mean of its divisors is an integer number (19951454796).

Almost surely, 25247879974064 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 5247879974064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9576698302080).

5247879974064 is an abundant number, since it is smaller than the sum of its proper divisors (13905516630096).

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

5247879974064 is a wasteful number, since it uses less digits than its factorization.

5247879974064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2110 (or 2101 counting only the distinct ones).

The product of its (nonzero) digits is 853493760, while the sum is 72.

The spelling of 5247879974064 in words is "five trillion, two hundred forty-seven billion, eight hundred seventy-nine million, nine hundred seventy-four thousand, sixty-four".