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1668008266176 = 263721196914813
BaseRepresentation
bin11000010001011101000…
…010100100100111000000
312220110102100211100200110
4120101131002210213000
5204312040104004201
63314134501551320
7231336541220400
oct30213502444700
95813370740613
101668008266176
115934421aa44a
1222b330715540
13c13a582b965
145aa3699a800
152d5c6e166d6
hex1845d0a49c0

1668008266176 has 168 divisors, whose sum is σ = 5134581582480. Its totient is φ = 476501803008.

The previous prime is 1668008266123. The next prime is 1668008266181. The reversal of 1668008266176 is 6716628008661.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112596946 + ... + 112611758.

It is an arithmetic number, because the mean of its divisors is an integer number (30562985610).

Almost surely, 21668008266176 is an apocalyptic number.

1668008266176 is a gapful number since it is divisible by the number (16) 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 1668008266176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2567290791240).

1668008266176 is an abundant number, since it is smaller than the sum of its proper divisors (3466573316304).

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

1668008266176 is a wasteful number, since it uses less digits than its factorization.

1668008266176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26811 (or 26794 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 57.

The spelling of 1668008266176 in words is "one trillion, six hundred sixty-eight billion, eight million, two hundred sixty-six thousand, one hundred seventy-six".