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9999999999 = 3211412719091
BaseRepresentation
bin10010101000000101…
…11110001111111111
3221210220202122010100
421110002332033333
5130434444444444
64332142412143
7502544411643
oct112402761777
927726678110
109999999999
114271815010
121b30b91053
13c349ba482
146ac162c23
153d7dace69
hex2540be3ff

9999999999 has 48 divisors (see below), whose sum is σ = 16203253248. Its totient is φ = 5890320000.

The previous prime is 9999999967. The next prime is 10000000019.

9999999999 is nontrivially palindromic in base 10.

It is a Cunningham number, because it is equal to 1010-1.

It is a trimorphic number since its cube, 999999999700000000029999999999, ends in 9999999999.

It is not a de Polignac number, because 9999999999 - 25 = 9999999967 is a prime.

It is a super-9 number, since 9×99999999999 (a number of 91 digits) contains 999999999 as substring.

It is a nude number because it is divisible by every one of its digits.

9999999999 is a modest number, since divided by 999999 gives 9999 as remainder.

9999999999 is a nontrivial repdigit in base 10.

It is a plaindrome in base 10.

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9999999929) by changing a digit.

It is a Kaprekar number, because its square (99999999980000000001) can be partitioned into two parts whose sum is 9999999999.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1095444 + ... + 1104534.

It is an arithmetic number, because the mean of its divisors is an integer number (337567776).

Almost surely, 29999999999 is an apocalyptic number.

9999999999 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

9999999999 is a deficient number, since it is larger than the sum of its proper divisors (6203253249).

9999999999 is a wasteful number, since it uses less digits than its factorization.

9999999999 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9420 (or 9417 counting only the distinct ones).

The product of its digits is 3486784401, while the sum is 90.

The square root of 9999999999 is about 99999.9999950000. Note that the first 5 decimals coincide. The cubic root of 9999999999 is about 2154.4346899601.

The spelling of 9999999999 in words is "nine billion, nine hundred ninety-nine million, nine hundred ninety-nine thousand, nine hundred ninety-nine".

Divisors: 1 3 9 11 33 41 99 123 271 369 451 813 1353 2439 2981 4059 8943 9091 11111 26829 27273 33333 81819 99999 100001 122221 300003 366663 372731 900009 1099989 1118193 2463661 3354579 4100041 7390983 12300123 22172949 27100271 36900369 81300813 101010101 243902439 303030303 909090909 1111111111 3333333333 9999999999