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999999999999000 = 23335371113371019901
BaseRepresentation
bin1110001101011111101010010…
…0110001100111110000011000
311212010201001210101011020111000
43203113322210301213300120
52022032444444444432000
613502453354043305000
7420430421136206550
oct34327724461476030
94763631711136430
10999999999999000
1126a6a3689064910
12941a684881b160
1333bca798057090
14138d23888b6160
157a924652eb000
hex38d7ea4c67c18

999999999999000 has 4096 divisors, whose sum is σ = 4828161713356800. Its totient is φ = 184757760000000.

The previous prime is 999999999998939. The next prime is 999999999999043. The reversal of 999999999999000 is 999999999999.

It is a super-9 number, since 9×9999999999990009 (a number of 136 digits) contains 999999999 as substring.

It is a Harshad number since it is a multiple of its sum of digits (108).

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1023 ways as a sum of consecutive naturals, for example, 100999894050 + ... + 100999903950.

It is an arithmetic number, because the mean of its divisors is an integer number (1178750418300).

Almost surely, 2999999999999000 is an apocalyptic number.

999999999999000 is a gapful number since it is divisible by the number (90) 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 999999999999000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2414080856678400).

999999999999000 is an abundant number, since it is smaller than the sum of its proper divisors (3828161713357800).

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

999999999999000 is a wasteful number, since it uses less digits than its factorization.

999999999999000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10100 (or 10080 counting only the distinct ones).

The product of its (nonzero) digits is 282429536481, while the sum is 108.

999999999999000 divided by its reverse (999999999999) gives a cube (1000 = 103).

It can be divided in two parts, 999 and 999999999000, that added together give a palindrome (999999999999).

The spelling of 999999999999000 in words is "nine hundred ninety-nine trillion, nine hundred ninety-nine billion, nine hundred ninety-nine million, nine hundred ninety-nine thousand".