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47918881920 = 2735713217273
BaseRepresentation
bin101100101000001100…
…000001110010000000
311120200112211102022110
4230220030001302000
51241114213210140
634002535535320
73314321530050
oct545014016200
9146615742273
1047918881920
111935aa61258
129353b2a540
134698863400
14246819b560
1513a6d0c380
hexb28301c80

47918881920 has 1152 divisors, whose sum is σ = 203546010240. Its totient is φ = 9385279488.

The previous prime is 47918881861. The next prime is 47918881951. The reversal of 47918881920 is 2918881974.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 656423004 + ... + 656423076.

It is an arithmetic number, because the mean of its divisors is an integer number (176689245).

Almost surely, 247918881920 is an apocalyptic number.

47918881920 is a gapful number since it is divisible by the number (40) 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 47918881920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101773005120).

47918881920 is an abundant number, since it is smaller than the sum of its proper divisors (155627128320).

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

47918881920 is a wasteful number, since it uses less digits than its factorization.

47918881920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 57.

The spelling of 47918881920 in words is "forty-seven billion, nine hundred eighteen million, eight hundred eighty-one thousand, nine hundred twenty".