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485185769123328 = 29337213311777351
BaseRepresentation
bin110111001010001100001110…
…1011010110010111000000000
32100121220022021110121111212000
41232110120131122302320000
51002043240423343421303
64435523133145104000
7204124341442236600
oct15624303532627000
92317808243544760
10485185769123328
111306601469a3199
1246500304488000
1317a95a8b3a91c0
1487b518ba50c00
153b15bde1c1da3
hex1b9461d6b2e00

485185769123328 has 960 divisors, whose sum is σ = 1857213970698240. Its totient is φ = 123833235456000.

The previous prime is 485185769123303. The next prime is 485185769123333. The reversal of 485185769123328 is 823321967581584.

485185769123328 is a `hidden beast` number, since 4 + 8 + 5 + 1 + 8 + 576 + 9 + 1 + 23 + 3 + 28 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 272093853 + ... + 273871203.

It is an arithmetic number, because the mean of its divisors is an integer number (1934597886144).

Almost surely, 2485185769123328 is an apocalyptic number.

485185769123328 is a gapful number since it is divisible by the number (48) 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 485185769123328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928606985349120).

485185769123328 is an abundant number, since it is smaller than the sum of its proper divisors (1372028201574912).

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

485185769123328 is a wasteful number, since it uses less digits than its factorization.

485185769123328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1777436 (or 1777407 counting only the distinct ones).

The product of its digits is 696729600, while the sum is 72.

The spelling of 485185769123328 in words is "four hundred eighty-five trillion, one hundred eighty-five billion, seven hundred sixty-nine million, one hundred twenty-three thousand, three hundred twenty-eight".