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1988993664 = 2733782217
BaseRepresentation
bin111011010001101…
…1010001010000000
312010121122100101000
41312203122022000
513033140244124
6525211012000
7100201111230
oct16643321200
95117570330
101988993664
1193080a419
1247613a000
132590c2738
1414c231cc0
15b993b6c9
hex768da280

1988993664 has 128 divisors (see below), whose sum is σ = 6708988800. Its totient is φ = 568276992.

The previous prime is 1988993653. The next prime is 1988993683. The reversal of 1988993664 is 4663998891.

It is a happy number.

1988993664 is a `hidden beast` number, since 198 + 89 + 9 + 366 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16917 + ... + 65300.

It is an arithmetic number, because the mean of its divisors is an integer number (52413975).

Almost surely, 21988993664 is an apocalyptic number.

1988993664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1988993664 is an abundant number, since it is smaller than the sum of its proper divisors (4719995136).

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

1988993664 is an equidigital number, since it uses as much as digits as its factorization.

1988993664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82247 (or 82229 counting only the distinct ones).

The product of its digits is 20155392, while the sum is 63.

The square root of 1988993664 is about 44598.1352076519. The cubic root of 1988993664 is about 1257.6056115361.

The spelling of 1988993664 in words is "one billion, nine hundred eighty-eight million, nine hundred ninety-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 288 336 378 384 432 448 504 576 672 756 864 896 1008 1152 1344 1512 1728 2016 2688 3024 3456 4032 6048 8064 12096 24192 82217 164434 246651 328868 493302 575519 657736 739953 986604 1151038 1315472 1479906 1726557 1973208 2219859 2302076 2630944 2959812 3453114 3946416 4439718 4604152 5179671 5261888 5919624 6906228 7892832 8879436 9208304 10359342 10523776 11839248 13812456 15539013 15785664 17758872 18416608 20718684 23678496 27624912 31078026 31571328 35517744 36833216 41437368 47356992 55249824 62156052 71035488 73666432 82874736 94713984 110499648 124312104 142070976 165749472 220999296 248624208 284141952 331498944 497248416 662997888 994496832 1988993664