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47711642040 = 23325473119067
BaseRepresentation
bin101100011011110101…
…011110000110111000
311120011002212112122100
4230123311132012320
51240203140021130
633530214023400
73306224160126
oct543365360670
9146132775570
1047711642040
1119263a83927
1292b6647b60
13466494296a
142448852916
151393a22c60
hexb1bd5e1b8

47711642040 has 192 divisors, whose sum is σ = 158888770560. Its totient is φ = 12410991360.

The previous prime is 47711642029. The next prime is 47711642093. The reversal of 47711642040 is 4024611774.

It is a happy number.

47711642040 is a `hidden beast` number, since 4 + 7 + 7 + 1 + 1 + 642 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 47711641986 and 47711642004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5257587 + ... + 5266653.

It is an arithmetic number, because the mean of its divisors is an integer number (827545680).

Almost surely, 247711642040 is an apocalyptic number.

47711642040 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 47711642040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79444385280).

47711642040 is an abundant number, since it is smaller than the sum of its proper divisors (111177128520).

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

47711642040 is a wasteful number, since it uses less digits than its factorization.

47711642040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9442 (or 9435 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 47711642040 in words is "forty-seven billion, seven hundred eleven million, six hundred forty-two thousand, forty".