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1669628376 = 233413474217
BaseRepresentation
bin110001110000100…
…1000000111011000
311022100200220120000
41203201020013120
511404411102001
6433401533000
756242415133
oct14341100730
94270626500
101669628376
11787509569
123a71a4160
13207ba43b0
1411ba5b21a
159b8a4a86
hex638481d8

1669628376 has 160 divisors (see below), whose sum is σ = 5144610240. Its totient is φ = 502682112.

The previous prime is 1669628347. The next prime is 1669628399. The reversal of 1669628376 is 6738269661.

1669628376 is a `hidden beast` number, since 1 + 6 + 6 + 9 + 628 + 3 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 393820 + ... + 398036.

It is an arithmetic number, because the mean of its divisors is an integer number (32153814).

Almost surely, 21669628376 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 1669628376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2572305120).

1669628376 is an abundant number, since it is smaller than the sum of its proper divisors (3474981864).

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

1669628376 is a wasteful number, since it uses less digits than its factorization.

1669628376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4295 (or 4282 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The square root of 1669628376 is about 40861.0863291714. The cubic root of 1669628376 is about 1186.3329848457.

The spelling of 1669628376 in words is "one billion, six hundred sixty-nine million, six hundred twenty-eight thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 47 52 54 72 78 81 94 104 108 117 141 156 162 188 216 234 282 312 324 351 376 423 468 564 611 648 702 846 936 1053 1128 1222 1269 1404 1692 1833 2106 2444 2538 2808 3384 3666 3807 4212 4217 4888 5076 5499 7332 7614 8424 8434 10152 10998 12651 14664 15228 16497 16868 21996 25302 30456 32994 33736 37953 43992 49491 50604 54821 65988 75906 98982 101208 109642 113859 131976 151812 164463 197964 198199 219284 227718 303624 328926 341577 395928 396398 438568 455436 493389 594597 657852 683154 792796 910872 986778 1189194 1315704 1366308 1480167 1585592 1783791 1973556 2378388 2576587 2732616 2960334 3567582 3947112 4440501 4756776 5153174 5351373 5920668 7135164 7729761 8881002 10306348 10702746 11841336 14270328 15459522 16054119 17762004 20612696 21405492 23189283 30919044 32108238 35524008 42810984 46378566 61838088 64216476 69567849 92757132 128432952 139135698 185514264 208703547 278271396 417407094 556542792 834814188 1669628376