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47109142080 = 26335711132419
BaseRepresentation
bin101011110111111011…
…000111011001000000
311111121010011101002000
4223313323013121000
51232434420021310
633350332224000
73255260046360
oct536773073100
9144533141060
1047109142080
1118a84978780
12916890b000
134599b80200
1423cc8189a0
15135abae4c0
hexaf7ec7640

47109142080 has 1344 divisors, whose sum is σ = 224898508800. Its totient is φ = 9014353920.

The previous prime is 47109142027. The next prime is 47109142081. The reversal of 47109142080 is 8024190174.

47109142080 is a `hidden beast` number, since 4 + 71 + 0 + 91 + 420 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is not an unprimeable number, because it can be changed into a prime (47109142081) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 112432111 + ... + 112432529.

It is an arithmetic number, because the mean of its divisors is an integer number (167335200).

Almost surely, 247109142080 is an apocalyptic number.

47109142080 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 47109142080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112449254400).

47109142080 is an abundant number, since it is smaller than the sum of its proper divisors (177789366720).

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

47109142080 is a wasteful number, since it uses less digits than its factorization.

47109142080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 47109142080 in words is "forty-seven billion, one hundred nine million, one hundred forty-two thousand, eighty".