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2069316168192 = 29327313261127
BaseRepresentation
bin11110000111001100110…
…110101110101000000000
321022211021012110000221200
4132013030312232220000
5232400424414340232
64222344123021200
7302334404133000
oct36071466565000
97284235400850
102069316168192
117286570369a9
1229506996a800
1312019c110900
147222673a000
1538c6356177c
hex1e1ccdaea00

2069316168192 has 1440 divisors, whose sum is σ = 7725591244800. Its totient is φ = 532580106240.

The previous prime is 2069316168089. The next prime is 2069316168197. The reversal of 2069316168192 is 2918616139602.

2069316168192 is a `hidden beast` number, since 2 + 0 + 6 + 9 + 3 + 1 + 616 + 8 + 19 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (2069316168197) 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 143 ways as a sum of consecutive naturals, for example, 16293828033 + ... + 16293828159.

It is an arithmetic number, because the mean of its divisors is an integer number (5364993920).

Almost surely, 22069316168192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2069316168192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3862795622400).

2069316168192 is an abundant number, since it is smaller than the sum of its proper divisors (5656275076608).

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

2069316168192 is a wasteful number, since it uses less digits than its factorization.

2069316168192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 2069316168192 in words is "two trillion, sixty-nine billion, three hundred sixteen million, one hundred sixty-eight thousand, one hundred ninety-two".