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243873485856 = 253571113171997
BaseRepresentation
bin1110001100011111111…
…1100001010000100000
3212022110221222200200000
43203013333201100200
512443423103021411
6304011155100000
723422261266330
oct3430777412040
9768427880600
10243873485856
1194476252520
123b3208a1600
1319cc6a281b0
14bb36cad0c0
156525040956
hex38c7fe1420

243873485856 has 2304 divisors, whose sum is σ = 1087351050240. Its totient is φ = 51597803520.

The previous prime is 243873485831. The next prime is 243873485857. The reversal of 243873485856 is 658584378342.

243873485856 is a `hidden beast` number, since 2 + 4 + 3 + 8 + 7 + 3 + 48 + 585 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (154828800) is a multiple of the sum of its prime factors (189).

It is a junction number, because it is equal to n+sod(n) for n = 243873485793 and 243873485802.

It is not an unprimeable number, because it can be changed into a prime (243873485857) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2514159600 + ... + 2514159696.

It is an arithmetic number, because the mean of its divisors is an integer number (471940560).

Almost surely, 2243873485856 is an apocalyptic number.

243873485856 is a gapful number since it is divisible by the number (26) 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 243873485856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543675525120).

243873485856 is an abundant number, since it is smaller than the sum of its proper divisors (843477564384).

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

243873485856 is a wasteful number, since it uses less digits than its factorization.

243873485856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 169 counting only the distinct ones).

The product of its digits is 154828800, while the sum is 63.

The spelling of 243873485856 in words is "two hundred forty-three billion, eight hundred seventy-three million, four hundred eighty-five thousand, eight hundred fifty-six".