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1668403303776 = 253211343127797
BaseRepresentation
bin11000010001110100100…
…101100001010101100000
312220111102220011100101200
4120101310211201111200
5204313342221210101
63314242013001200
7231352406043456
oct30216445412540
95814386140350
101668403303776
11593625196000
1222b420a83200
13c1439623611
145aa7322c9d6
152d5eb949986
hex18474961560

1668403303776 has 576 divisors, whose sum is σ = 5388780773376. Its totient is φ = 489316101120.

The previous prime is 1668403303769. The next prime is 1668403303783. The reversal of 1668403303776 is 6773033048661.

1668403303776 is a `hidden beast` number, since 166 + 8 + 403 + 3 + 0 + 3 + 7 + 76 = 666.

It is an interprime number because it is at equal distance from previous prime (1668403303769) and next prime (1668403303783).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2093353810 + ... + 2093354606.

It is an arithmetic number, because the mean of its divisors is an integer number (9355522176).

Almost surely, 21668403303776 is an apocalyptic number.

1668403303776 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 1668403303776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2694390386688).

1668403303776 is an abundant number, since it is smaller than the sum of its proper divisors (3720377469600).

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

1668403303776 is a wasteful number, since it uses less digits than its factorization.

1668403303776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 54.

The spelling of 1668403303776 in words is "one trillion, six hundred sixty-eight billion, four hundred three million, three hundred three thousand, seven hundred seventy-six".