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1206381321864 = 233216755296137
BaseRepresentation
bin10001100011100001111…
…011100001111010001000
311021022212210021211220200
4101203201323201322020
5124231132104244424
62322112014252200
7153105153020655
oct21434173417210
94238783254820
101206381321864
11425694895714
1217597a7b7060
13899b86854c4
1442563c38c2c
15215aa0478c9
hex118e1ee1e88

1206381321864 has 24 divisors (see below), whose sum is σ = 3267282746910. Its totient is φ = 402127107264.

The previous prime is 1206381321863. The next prime is 1206381321913. The reversal of 1206381321864 is 4681231836021.

1206381321864 is a `hidden beast` number, since 1 + 2 + 0 + 638 + 1 + 3 + 2 + 1 + 8 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1159192448964 + 47188872900 = 1076658^2 + 217230^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (1206381321863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8377647997 + ... + 8377648140.

Almost surely, 21206381321864 is an apocalyptic number.

It is an amenable number.

1206381321864 is an abundant number, since it is smaller than the sum of its proper divisors (2060901425046).

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

1206381321864 is a wasteful number, since it uses less digits than its factorization.

1206381321864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16755296149 (or 16755296142 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 1206381321864 in words is "one trillion, two hundred six billion, three hundred eighty-one million, three hundred twenty-one thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 16755296137 33510592274 50265888411 67021184548 100531776822 134042369096 150797665233 201063553644 301595330466 402127107288 603190660932 1206381321864