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999091801116 = 2232172238099049
BaseRepresentation
bin11101000100111101000…
…00110000110000011100
310112111211102111010211100
432202132200300300130
5112332120000113431
62042550524353100
7132116266121613
oct16423640606034
93474742433740
10999091801116
11355792303702
121417699a5790
13732a2091356
14364db99487a
151aec6b6a4e6
hexe89e830c1c

999091801116 has 144 divisors (see below), whose sum is σ = 2689648416000. Its totient is φ = 311614857216.

The previous prime is 999091801091. The next prime is 999091801117. The reversal of 999091801116 is 611108190999.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (999091801117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110404560 + ... + 110413608.

It is an arithmetic number, because the mean of its divisors is an integer number (18678114000).

Almost surely, 2999091801116 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 999091801116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1344824208000).

999091801116 is an abundant number, since it is smaller than the sum of its proper divisors (1690556614884).

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

999091801116 is a wasteful number, since it uses less digits than its factorization.

999091801116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10108 (or 10103 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 54.

The spelling of 999091801116 in words is "nine hundred ninety-nine billion, ninety-one million, eight hundred one thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 223 306 446 612 669 809 892 1338 1618 2007 2427 2676 3236 3791 4014 4854 7281 7582 8028 9049 9708 11373 13753 14562 15164 18098 22746 27147 27506 29124 34119 36196 41259 45492 54294 55012 68238 81441 82518 108588 123777 136476 153833 162882 165036 180407 247554 307666 325764 360814 461499 495108 541221 615332 721628 922998 1082442 1384497 1623663 1845996 2017927 2164884 2768994 3066919 3247326 4035854 5537988 6053781 6133838 6494652 7320641 8071708 9200757 12107562 12267676 14641282 18161343 18401514 21961923 24215124 27602271 29282564 34304759 36322686 36803028 43923846 55204542 65885769 68609518 72645372 87847692 102914277 110409084 124450897 131771538 137219036 205828554 248901794 263543076 308742831 373352691 411657108 497803588 617485662 746705382 1120058073 1234971324 1493410764 1632502943 2240116146 3265005886 4480232292 4897508829 6530011772 9795017658 14692526487 19590035316 27752550031 29385052974 55505100062 58770105948 83257650093 111010200124 166515300186 249772950279 333030600372 499545900558 999091801116