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9999006666 = 23111015572693
BaseRepresentation
bin10010100111111110…
…01011101111001010
3221210211220011112020
421103333023233022
5130434221203131
64332105225310
7502533103635
oct112377135712
927724804466
109999006666
1142711a6780
121b30792236
13c347302bc
146abd84c1c
153d7c63996
hex253fcbbca

9999006666 has 64 divisors (see below), whose sum is σ = 22079765376. Its totient is φ = 2993504000.

The previous prime is 9999006653. The next prime is 9999006673. The reversal of 9999006666 is 6666009999.

9999006666 is a strobogrammatic number because it is the same when read upside-down.

It is a zygodrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3711616 + ... + 3714308.

It is an arithmetic number, because the mean of its divisors is an integer number (344996334).

Almost surely, 29999006666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9999006666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11039882688).

9999006666 is an abundant number, since it is smaller than the sum of its proper divisors (12080758710).

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

9999006666 is a wasteful number, since it uses less digits than its factorization.

9999006666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3367.

The product of its (nonzero) digits is 8503056, while the sum is 60.

The square root of 9999006666 is about 99995.0332066548. The cubic root of 9999006666 is about 2154.3633518955.

The spelling of 9999006666 in words is "nine billion, nine hundred ninety-nine million, six thousand, six hundred sixty-six".

Divisors: 1 2 3 6 11 22 33 66 101 202 303 557 606 1111 1114 1671 2222 2693 3333 3342 5386 6127 6666 8079 12254 16158 18381 29623 36762 56257 59246 88869 112514 168771 177738 271993 337542 543986 618827 815979 1237654 1500001 1631958 1856481 2991923 3000002 3712962 4500003 5983846 8975769 9000006 16500011 17951538 33000022 49500033 99000066 151500101 303000202 454500303 909000606 1666501111 3333002222 4999503333 9999006666