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47171317632 = 2731947151911
BaseRepresentation
bin101011111011101000…
…010010111110000000
311111202110011012220020
4223323220102332000
51233101324131012
633400433013440
73256643404245
oct537350227600
9144673135806
1047171317632
1119006a8512a
1291856b4280
1345a9a0c48a
1423d6ba15cc
151361391a8c
hexafba12f80

47171317632 has 256 divisors, whose sum is σ = 135740620800. Its totient is φ = 14466816000.

The previous prime is 47171317621. The next prime is 47171317643. The reversal of 47171317632 is 23671317174.

47171317632 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 (47171317621) and next prime (47171317643).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51779257 + ... + 51780167.

It is an arithmetic number, because the mean of its divisors is an integer number (530236800).

Almost surely, 247171317632 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 47171317632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67870310400).

47171317632 is an abundant number, since it is smaller than the sum of its proper divisors (88569303168).

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

47171317632 is a wasteful number, since it uses less digits than its factorization.

47171317632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1145 (or 1133 counting only the distinct ones).

The product of its digits is 148176, while the sum is 42.

The spelling of 47171317632 in words is "forty-seven billion, one hundred seventy-one million, three hundred seventeen thousand, six hundred thirty-two".