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99990000009999 = 32111012354127961
BaseRepresentation
bin10110101111000010111100…
…011011101000001100001111
3111010000221200000120101212200
4112233002330123220030033
5101101214010000304444
6552354434420132543
730030016261501401
oct2657027433501417
9433027600511780
1099990000009999
11299505802a9730
12b26a894837153
1343a402a4601b8
141a99782a92b71
15b85e81914969
hex5af0bc6e830f

99990000009999 has 72 divisors (see below), whose sum is σ = 159186079324272. Its totient is φ = 59980910400000.

The previous prime is 99990000009989. The next prime is 99990000010031.

99990000009999 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 99990000009999 - 211 = 99990000007951 is a prime.

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 (99990000009989) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3576038379 + ... + 3576066339.

Almost surely, 299990000009999 is an apocalyptic number.

99990000009999 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

99990000009999 is a deficient number, since it is larger than the sum of its proper divisors (59196079314273).

99990000009999 is a wasteful number, since it uses less digits than its factorization.

99990000009999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31721 (or 31617 counting only the distinct ones).

The product of its (nonzero) digits is 43046721, while the sum is 72.

It can be divided in two parts, 9999000000 and 9999, that multiplied together give a square (99980001000000 = 99990002).

The spelling of 99990000009999 in words is "ninety-nine trillion, nine hundred ninety billion, nine thousand, nine hundred ninety-nine".

Divisors: 1 3 9 11 33 99 101 303 909 1111 3333 3541 9999 10201 10623 27961 30603 31869 38951 83883 91809 112211 116853 251649 307571 336633 350559 357641 922713 1009899 1072923 2768139 2824061 3218769 3934051 8472183 11802153 25416549 31064671 35406459 36121741 93194013 99009901 108365223 279582039 285230161 297029703 325095669 397339151 855690483 891089109 1089108911 1192017453 2567071449 3137531771 3267326733 3576052359 9412595313 9801980199 10000000001 28237785939 30000000003 90000000009 110000000011 330000000033 990000000099 1010000000101 3030000000303 9090000000909 11110000001111 33330000003333 99990000009999