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42678839808 = 29321131157173
BaseRepresentation
bin100111101111110110…
…110110101000000000
311002011100202200212200
4213233312312220000
51144401240333213
631334551353200
73040423103253
oct475766665000
9132140680780
1042678839808
1117111102040
128331082800
13404206a787
1420cc29309a
15119bc8c273
hex9efdb6a00

42678839808 has 480 divisors, whose sum is σ = 140396585472. Its totient is φ = 12364185600.

The previous prime is 42678839789. The next prime is 42678839821. The reversal of 42678839808 is 80893887624.

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 47 ways as a sum of consecutive naturals, for example, 246698410 + ... + 246698582.

Almost surely, 242678839808 is an apocalyptic number.

42678839808 is a gapful number since it is divisible by the number (48) 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 42678839808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70198292736).

42678839808 is an abundant number, since it is smaller than the sum of its proper divisors (97717745664).

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

42678839808 is a wasteful number, since it uses less digits than its factorization.

42678839808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 42678839808 in words is "forty-two billion, six hundred seventy-eight million, eight hundred thirty-nine thousand, eight hundred eight".