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999960000400 = 2452499992
BaseRepresentation
bin11101000110100100100…
…00101011011110010000
310112121001221011020100101
432203102100223132100
5112340404230003100
62043213021102144
7132146640522064
oct16432220533620
93477057136311
10999960000400
11356098395679
121419706b7954
13733acc0223a
1436580dd3aa4
151b027eb486a
hexe8d242b790

999960000400 has 45 divisors (see below), whose sum is σ = 2402451950961. Its totient is φ = 399976000320.

The previous prime is 999960000379. The next prime is 999960000419. The reversal of 999960000400 is 4000069999.

It is a happy number.

The square root of 999960000400 is 999980.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 359985600144 + 639974400256 = 599988^2 + 799984^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 19974601 + ... + 20024599.

Almost surely, 2999960000400 is an apocalyptic number.

999960000400 is the 999980-th square number.

It is an amenable number.

999960000400 is an abundant number, since it is smaller than the sum of its proper divisors (1402491950561).

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

999960000400 is an frugal number, since it uses more digits than its factorization.

999960000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100016 (or 50006 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 46.

The spelling of 999960000400 in words is "nine hundred ninety-nine billion, nine hundred sixty million, four hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 49999 99998 199996 249995 399992 499990 799984 999980 1249975 1999960 2499950 3999920 4999900 9999800 19999600 2499900001 4999800002 9999600004 12499500005 19999200008 24999000010 39998400016 49998000020 62497500025 99996000040 124995000050 199992000080 249990000100 499980000200 999960000400