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47875717440 = 263459831879
BaseRepresentation
bin101100100101100111…
…010111100101000000
311120120112121102210000
4230211213113211000
51241022140424230
633554354440000
73313255612065
oct544547274500
9146515542700
1047875717440
111933865a131
129341593000
13468c92c3b5
142462562c6c
1513a3132b60
hexb259d7940

47875717440 has 280 divisors, whose sum is σ = 170566323840. Its totient is φ = 12747082752.

The previous prime is 47875717427. The next prime is 47875717529. The reversal of 47875717440 is 4471757874.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 25478421 + ... + 25480299.

Almost surely, 247875717440 is an apocalyptic number.

47875717440 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 47875717440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85283161920).

47875717440 is an abundant number, since it is smaller than the sum of its proper divisors (122690606400).

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

47875717440 is a wasteful number, since it uses less digits than its factorization.

47875717440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2891 (or 2872 counting only the distinct ones).

The product of its (nonzero) digits is 6146560, while the sum is 54.

The spelling of 47875717440 in words is "forty-seven billion, eight hundred seventy-five million, seven hundred seventeen thousand, four hundred forty".