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8485287632640 = 28345721329883
BaseRepresentation
bin111101101111010001010…
…0011100001111100000000
31010001012000021200102020000
41323132202203201330000
52103010332113221030
630014030510120000
71534020223556400
oct173364243417400
933035007612200
108485287632640
112781654726345
12b506097b0000
1349720b983700
14214993952800
15eaac614d860
hex7b7a28e1f00

8485287632640 has 1620 divisors, whose sum is σ = 38248658083944. Its totient is φ = 1790121295872.

The previous prime is 8485287632629. The next prime is 8485287632641. The reversal of 8485287632640 is 462367825848.

8485287632640 is a `hidden beast` number, since 8 + 4 + 8 + 528 + 7 + 63 + 2 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1620).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8485287632641) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 858569139 + ... + 858579021.

Almost surely, 28485287632640 is an apocalyptic number.

8485287632640 is a gapful number since it is divisible by the number (80) 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 8485287632640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19124329041972).

8485287632640 is an abundant number, since it is smaller than the sum of its proper divisors (29763370451304).

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

8485287632640 is a wasteful number, since it uses less digits than its factorization.

8485287632640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9956 (or 9913 counting only the distinct ones).

The product of its (nonzero) digits is 123863040, while the sum is 63.

The spelling of 8485287632640 in words is "eight trillion, four hundred eighty-five billion, two hundred eighty-seven million, six hundred thirty-two thousand, six hundred forty".