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990579979776 = 293312671081
BaseRepresentation
bin11100110101000110010…
…10101111011000000000
310111200212012222211001010
432122203022233120000
5112212201433323101
62035022142440520
7131365331621142
oct16324312573000
93450765884033
10990579979776
11352114635312
1213bb93293140
13725467b758a
1435d31338c92
151ab7976e2d6
hexe6a32af600

990579979776 has 120 divisors (see below), whose sum is σ = 2726845071192. Its totient is φ = 319541452800.

The previous prime is 990579979729. The next prime is 990579979777. The reversal of 990579979776 is 677979975099.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (990579979777) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1140556 + ... + 1811636.

Almost surely, 2990579979776 is an apocalyptic number.

990579979776 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 990579979776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1363422535596).

990579979776 is an abundant number, since it is smaller than the sum of its proper divisors (1736265091416).

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

990579979776 is an equidigital number, since it uses as much as digits as its factorization.

990579979776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671164 (or 671117 counting only the distinct ones).

The product of its (nonzero) digits is 4253299470, while the sum is 84.

The spelling of 990579979776 in words is "nine hundred ninety billion, five hundred seventy-nine million, nine hundred seventy-nine thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 512 744 768 961 992 1488 1536 1922 1984 2883 2976 3844 3968 5766 5952 7688 7936 11532 11904 15376 15872 23064 23808 30752 46128 47616 61504 92256 123008 184512 246016 369024 492032 671081 738048 1342162 1476096 2013243 2684324 4026486 5368648 8052972 10737296 16105944 20803511 21474592 32211888 41607022 42949184 62410533 64423776 83214044 85898368 124821066 128847552 166428088 171796736 249642132 257695104 332856176 343593472 499284264 515390208 644908841 665712352 998568528 1030780416 1289817682 1331424704 1934726523 1997137056 2579635364 2662849408 3869453046 3994274112 5159270728 5325698816 7738906092 7988548224 10318541456 10651397632 15477812184 15977096448 20637082912 30955624368 31954192896 41274165824 61911248736 82548331648 123822497472 165096663296 247644994944 330193326592 495289989888 990579979776