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483872780160 = 273357113111731
BaseRepresentation
bin1110000101010010001…
…00001010111110000000
31201020221221000001122000
413002221010022332000
530411432412431120
61010142120544000
746646550524610
oct7025104127600
91636857001560
10483872780160
1117723362a540
1279940022000
1336823c10643
14195c3416a40
15c8bedac990
hex70a910af80

483872780160 has 1024 divisors, whose sum is σ = 2205691084800. Its totient is φ = 97293312000.

The previous prime is 483872780123. The next prime is 483872780161. The reversal of 483872780160 is 61087278384.

It is a happy number.

483872780160 is a `hidden beast` number, since 4 + 8 + 387 + 27 + 80 + 160 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 483872780097 and 483872780106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (483872780161) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 41241495 + ... + 41253225.

It is an arithmetic number, because the mean of its divisors is an integer number (2153995200).

Almost surely, 2483872780160 is an apocalyptic number.

483872780160 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 483872780160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1102845542400).

483872780160 is an abundant number, since it is smaller than the sum of its proper divisors (1721818304640).

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

483872780160 is a wasteful number, since it uses less digits than its factorization.

483872780160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11808 (or 11790 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 483872780160 in words is "four hundred eighty-three billion, eight hundred seventy-two million, seven hundred eighty thousand, one hundred sixty".