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1668899914704 = 2433111979832819
BaseRepresentation
bin11000010010010010001…
…011111100001111010000
312220112201111121210112000
4120102102023330033100
5204320401334232304
63314403153034000
7231400616133651
oct30222213741720
95815644553460
101668899914704
1159385a548160
1222b53b255900
13c14b848cc39
145aabd181528
152d62a343939
hex184922fc3d0

1668899914704 has 640 divisors, whose sum is σ = 5639639040000. Its totient is φ = 467180213760.

The previous prime is 1668899914697. The next prime is 1668899914741. The reversal of 1668899914704 is 4074199988661.

1668899914704 is a `hidden beast` number, since 1 + 6 + 68 + 8 + 9 + 9 + 91 + 470 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 592017007 + ... + 592019825.

It is an arithmetic number, because the mean of its divisors is an integer number (8811936000).

Almost surely, 21668899914704 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 1668899914704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2819819520000).

1668899914704 is an abundant number, since it is smaller than the sum of its proper divisors (3970739125296).

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

1668899914704 is a wasteful number, since it uses less digits than its factorization.

1668899914704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3028 (or 3016 counting only the distinct ones).

The product of its (nonzero) digits is 188116992, while the sum is 72.

The spelling of 1668899914704 in words is "one trillion, six hundred sixty-eight billion, eight hundred ninety-nine million, nine hundred fourteen thousand, seven hundred four".