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992689872384 = 2937671378001
BaseRepresentation
bin11100111001000001110…
…11010101111000000000
310111220022021010110120210
432130200323111320000
5112231012101404014
62040011353034120
7131501531456430
oct16344073257000
93456267113523
10992689872384
11352aa760a911
121404819b5940
13727c195a142
143609163c2c0
151ac4eadc859
hexe720ed5e00

992689872384 has 160 divisors (see below), whose sum is σ = 3067498596096. Its totient is φ = 279392256000.

The previous prime is 992689872371. The next prime is 992689872397. The reversal of 992689872384 is 483278986299.

It is an interprime number because it is at equal distance from previous prime (992689872371) and next prime (992689872397).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31384 + ... + 1409384.

Almost surely, 2992689872384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 992689872384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1533749298048).

992689872384 is an abundant number, since it is smaller than the sum of its proper divisors (2074808723712).

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

992689872384 is a wasteful number, since it uses less digits than its factorization.

992689872384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1378096 (or 1378080 counting only the distinct ones).

The product of its digits is 752467968, while the sum is 75.

The spelling of 992689872384 in words is "nine hundred ninety-two billion, six hundred eighty-nine million, eight hundred seventy-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 67 84 96 112 128 134 168 192 201 224 256 268 336 384 402 448 469 512 536 672 768 804 896 938 1072 1344 1407 1536 1608 1792 1876 2144 2688 2814 3216 3584 3752 4288 5376 5628 6432 7504 8576 10752 11256 12864 15008 17152 22512 25728 30016 34304 45024 51456 60032 90048 102912 120064 180096 240128 360192 720384 1378001 2756002 4134003 5512004 8268006 9646007 11024008 16536012 19292014 22048016 28938021 33072024 38584028 44096032 57876042 66144048 77168056 88192064 92326067 115752084 132288096 154336112 176384128 184652134 231504168 264576192 276978201 308672224 352768256 369304268 463008336 529152384 553956402 617344448 646282469 705536512 738608536 926016672 1058304768 1107912804 1234688896 1292564938 1477217072 1852033344 1938847407 2116609536 2215825608 2469377792 2585129876 2954434144 3704066688 3877694814 4431651216 4938755584 5170259752 5908868288 7408133376 7755389628 8863302432 10340519504 11817736576 14816266752 15510779256 17726604864 20681039008 23635473152 31021558512 35453209728 41362078016 47270946304 62043117024 70906419456 82724156032 124086234048 141812838912 165448312064 248172468096 330896624128 496344936192 992689872384