Search a number
-
+
485386746122880 = 27345717223201233
BaseRepresentation
bin110111001011101001110100…
…0100101001101001010000000
32100122121112000220021220210000
41232113103220211031022000
51002110034024001413010
64440155332015440000
7204145015025451030
oct15627235045151200
92318545026256700
10485386746122880
111307283aa1a8638
1246533253226000
1317aaba09c41504
1487c0bb57b38c0
153b1b0532d27c0
hex1b974e894d280

485386746122880 has 1920 divisors, whose sum is σ = 2195926325556480. Its totient is φ = 99878866255872.

The previous prime is 485386746122833. The next prime is 485386746122893. The reversal of 485386746122880 is 88221647683584.

485386746122880 is a `hidden beast` number, since 4 + 8 + 5 + 3 + 8 + 67 + 461 + 2 + 28 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 485386746122799 and 485386746122808.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2411962744 + ... + 2412163976.

It is an arithmetic number, because the mean of its divisors is an integer number (1143711627894).

Almost surely, 2485386746122880 is an apocalyptic number.

485386746122880 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 485386746122880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097963162778240).

485386746122880 is an abundant number, since it is smaller than the sum of its proper divisors (1710539579433600).

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

485386746122880 is a wasteful number, since it uses less digits than its factorization.

485386746122880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201328 (or 201290 counting only the distinct ones).

The product of its (nonzero) digits is 990904320, while the sum is 72.

The spelling of 485386746122880 in words is "four hundred eighty-five trillion, three hundred eighty-six billion, seven hundred forty-six million, one hundred twenty-two thousand, eight hundred eighty".