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1668383550 = 232526160779
BaseRepresentation
bin110001101110001…
…1000001100111110
311022021100122222100
41203130120030332
511404101233200
6433315125530
756226011661
oct14334301476
94267318870
101668383550
11786839289
123a68a38a6
13207859902
1411b8156d8
159b70ad00
hex6371833e

1668383550 has 72 divisors (see below), whose sum is σ = 4555947240. Its totient is φ = 437601600.

The previous prime is 1668383491. The next prime is 1668383569. The reversal of 1668383550 is 553838661.

1668383550 is a `hidden beast` number, since 1 + 6 + 68 + 38 + 3 + 550 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 1668383496 and 1668383505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2940 + ... + 57839.

It is an arithmetic number, because the mean of its divisors is an integer number (63277045).

Almost surely, 21668383550 is an apocalyptic number.

1668383550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1668383550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2277973620).

1668383550 is an abundant number, since it is smaller than the sum of its proper divisors (2887563690).

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

1668383550 is a wasteful number, since it uses less digits than its factorization.

1668383550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60858 (or 60850 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 1668383550 is about 40845.8510744972. The cubic root of 1668383550 is about 1186.0380798373.

The spelling of 1668383550 in words is "one billion, six hundred sixty-eight million, three hundred eighty-three thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 61 75 90 122 150 183 225 305 366 450 549 610 915 1098 1525 1830 2745 3050 4575 5490 9150 13725 27450 60779 121558 182337 303895 364674 547011 607790 911685 1094022 1519475 1823370 2735055 3038950 3707519 4558425 5470110 7415038 9116850 11122557 13675275 18537595 22245114 27350550 33367671 37075190 55612785 66735342 92687975 111225570 166838355 185375950 278063925 333676710 556127850 834191775 1668383550