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42878854656 = 293511171997
BaseRepresentation
bin100111111011110001…
…110110011000000000
311002200022010111200000
4213323301312120000
51200303441322111
631410454400000
73045402152031
oct477361663000
9132608114600
1042878854656
1117203aa5170
128388060000
13407462b761
14210aa7aa88
1511ae5eac56
hex9fbc76600

42878854656 has 960 divisors, whose sum is σ = 157647409920. Its totient is φ = 11466178560.

The previous prime is 42878854651. The next prime is 42878854661. The reversal of 42878854656 is 65645887824.

42878854656 is a `hidden beast` number, since 4 + 2 + 8 + 7 + 88 + 546 + 5 + 6 = 666.

42878854656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42878854651) and next prime (42878854661).

It is a super-2 number, since 2×428788546562 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42878854593 and 42878854602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42878854651) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 442050000 + ... + 442050096.

It is an arithmetic number, because the mean of its divisors is an integer number (164216052).

Almost surely, 242878854656 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 42878854656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78823704960).

42878854656 is an abundant number, since it is smaller than the sum of its proper divisors (114768555264).

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

42878854656 is a wasteful number, since it uses less digits than its factorization.

42878854656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 149 counting only the distinct ones).

The product of its digits is 103219200, while the sum is 63.

The spelling of 42878854656 in words is "forty-two billion, eight hundred seventy-eight million, eight hundred fifty-four thousand, six hundred fifty-six".