Search a number
-
+
999000001000 = 23533055732693
BaseRepresentation
bin11101000100110010000…
…10100100100111101000
310112111121000202012202001
432202121002210213220
5112331423000013000
62042533445020344
7132114102621031
oct16423102444750
93474530665661
10999000001000
11355745502941
121417430b46b4
137328905bc61
14364cd6d9a88
151aebda8546a
hexe8990a49e8

999000001000 has 64 divisors (see below), whose sum is σ = 2337808009680. Its totient is φ = 399574700800.

The previous prime is 999000000959. The next prime is 999000001039. The reversal of 999000001000 is 100000999.

It can be written as a sum of positive squares in 8 ways, for example, as 149553905284 + 849446095716 = 386722^2 + 921654^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 999000001000.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 30540654 + ... + 30573346.

Almost surely, 2999000001000 is an apocalyptic number.

It is an amenable number.

999000001000 is an abundant number, since it is smaller than the sum of its proper divisors (1338808008680).

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

999000001000 is a wasteful number, since it uses less digits than its factorization.

999000001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63271 (or 63257 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 28.

Adding to 999000001000 its reverse (100000999), we get a palindrome (999100001999).

The spelling of 999000001000 in words is "nine hundred ninety-nine billion, one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 30557 32693 61114 65386 122228 130772 152785 163465 244456 261544 305570 326930 611140 653860 763925 817325 1222280 1307720 1527850 1634650 3055700 3269300 3819625 4086625 6111400 6538600 7639250 8173250 15278500 16346500 30557000 32693000 999000001 1998000002 3996000004 4995000005 7992000008 9990000010 19980000020 24975000025 39960000040 49950000050 99900000100 124875000125 199800000200 249750000250 499500000500 999000001000