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1666694016 = 27331337097
BaseRepresentation
bin110001101010111…
…1011101110000000
311022011011211101000
41203111323232000
511403133202031
6433215012000
756205444141
oct14325735600
94264154330
101666694016
11785894979
123a620a000
132073b78a0
1411b4d5ac8
159b4c53e6
hex6357bb80

1666694016 has 128 divisors (see below), whose sum is σ = 5297594400. Its totient is φ = 512815104.

The previous prime is 1666693999. The next prime is 1666694017. The reversal of 1666694016 is 6104966661.

1666694016 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1666694017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26380 + ... + 63476.

Almost surely, 21666694016 is an apocalyptic number.

1666694016 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 1666694016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2648797200).

1666694016 is an abundant number, since it is smaller than the sum of its proper divisors (3630900384).

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

1666694016 is a wasteful number, since it uses less digits than its factorization.

1666694016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37133 (or 37115 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 1666694016 is about 40825.1640045695. The cubic root of 1666694016 is about 1185.6375867053.

The spelling of 1666694016 in words is "one billion, six hundred sixty-six million, six hundred ninety-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 288 312 351 384 416 432 468 576 624 702 832 864 936 1152 1248 1404 1664 1728 1872 2496 2808 3456 3744 4992 5616 7488 11232 14976 22464 37097 44928 74194 111291 148388 222582 296776 333873 445164 482261 593552 667746 890328 964522 1001619 1187104 1335492 1446783 1780656 1929044 2003238 2374208 2670984 2893566 3561312 3858088 4006476 4340349 4748416 5341968 5787132 7122624 7716176 8012952 8680698 10683936 11574264 13021047 14245248 15432352 16025904 17361396 21367872 23148528 26042094 30864704 32051808 34722792 42735744 46297056 52084188 61729408 64103616 69445584 92594112 104168376 128207232 138891168 185188224 208336752 277782336 416673504 555564672 833347008 1666694016