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2069132325120 = 283557950329
BaseRepresentation
bin11110000111000001111…
…001011011000100000000
321022210210101111211200000
4132013001321123010000
5232400040333400440
64222313554400000
7302330012400240
oct36070171330400
97283711454600
102069132325120
11728572289983
12295018290000
1312016ccc2723
147220a161b20
1538c52349730
hex1e1c1e5b100

2069132325120 has 432 divisors, whose sum is σ = 8484728703360. Its totient is φ = 472944033792.

The previous prime is 2069132325103. The next prime is 2069132325121. The reversal of 2069132325120 is 215232319602.

2069132325120 is a `hidden beast` number, since 2 + 0 + 6 + 9 + 132 + 3 + 2 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2069132325121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1702116 + ... + 2652444.

Almost surely, 22069132325120 is an apocalyptic number.

2069132325120 is a gapful number since it is divisible by the number (20) 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 2069132325120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4242364351680).

2069132325120 is an abundant number, since it is smaller than the sum of its proper divisors (6415596378240).

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

2069132325120 is an frugal number, since it uses more digits than its factorization.

2069132325120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950372 (or 950346 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 2069132325120 in words is "two trillion, sixty-nine billion, one hundred thirty-two million, three hundred twenty-five thousand, one hundred twenty".