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998464589824 = 21213212012
BaseRepresentation
bin11101000011110010010…
…00001001000000000000
310112110012201021111200111
432201321020021000000
5112324323413333244
62042404401201104
7132064611660352
oct16417110110000
93473181244614
10998464589824
113554a025a569
12141613930194
1373202158c00
143647c5670d2
151ae8ba74e34
hexe879209000

998464589824 has 117 divisors (see below), whose sum is σ = 2163893047659. Its totient is φ = 460446105600.

The previous prime is 998464589813. The next prime is 998464589849. The reversal of 998464589824 is 428985464899.

The square root of 998464589824 is 999232.

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

It can be written as a sum of positive squares in 4 ways, for example, as 820691046400 + 177773543424 = 905920^2 + 421632^2 .

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, 831360424 + ... + 831361624.

Almost surely, 2998464589824 is an apocalyptic number.

998464589824 is the 999232-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 998464589824

998464589824 is an abundant number, since it is smaller than the sum of its proper divisors (1165428457835).

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

998464589824 is an frugal number, since it uses more digits than its factorization.

998464589824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2452 (or 1216 counting only the distinct ones).

The product of its digits is 1433272320, while the sum is 76.

The spelling of 998464589824 in words is "nine hundred ninety-eight billion, four hundred sixty-four million, five hundred eighty-nine thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 338 416 512 676 832 1024 1201 1352 1664 2048 2402 2704 3328 4096 4804 5408 6656 9608 10816 13312 15613 19216 21632 26624 31226 38432 43264 53248 62452 76864 86528 124904 153728 173056 202969 249808 307456 346112 405938 499616 614912 692224 811876 999232 1229824 1442401 1623752 1998464 2459648 2884802 3247504 3996928 4919296 5769604 6495008 7993856 11539208 12990016 15987712 18751213 23078416 25980032 31975424 37502426 46156832 51960064 63950848 75004852 92313664 103920128 150009704 184627328 207840256 243765769 300019408 369254656 415680512 487531538 600038816 738509312 831361024 975063076 1200077632 1477018624 1950126152 2400155264 2954037248 3900252304 4800310528 5908074496 7800504608 9600621056 15601009216 19201242112 31202018432 38402484224 62404036864 76804968448 124808073728 249616147456 499232294912 998464589824