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2909119104 = 27333792221
BaseRepresentation
bin1010110101100101…
…1010001010000000
321111202000120012000
42231121122022000
521424213302404
61200400304000
7132043050543
oct25531321200
97452016160
102909119104
111263138271
12692312000
13374914668
141d850a85a
151205e1339
hexad65a280

2909119104 has 128 divisors (see below), whose sum is σ = 8612472000. Its totient is φ = 966712320.

The previous prime is 2909119093. The next prime is 2909119141. The reversal of 2909119104 is 4019119092.

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

It is a super-2 number, since 2×29091191042 = 16925947922515525632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1308714 + ... + 1310934.

Almost surely, 22909119104 is an apocalyptic number.

2909119104 is a gapful number since it is divisible by the number (24) 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 2909119104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4306236000).

2909119104 is an abundant number, since it is smaller than the sum of its proper divisors (5703352896).

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

2909119104 is a wasteful number, since it uses less digits than its factorization.

2909119104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2623 (or 2605 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 36.

The square root of 2909119104 is about 53936.2503702287. The cubic root of 2909119104 is about 1427.5363228714.

The spelling of 2909119104 in words is "two billion, nine hundred nine million, one hundred nineteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 379 384 432 576 758 864 1137 1152 1516 1728 2221 2274 3032 3411 3456 4442 4548 6064 6663 6822 8884 9096 10233 12128 13326 13644 17768 18192 19989 20466 24256 26652 27288 35536 36384 39978 40932 48512 53304 54576 59967 71072 72768 79956 81864 106608 109152 119934 142144 145536 159912 163728 213216 218304 239868 284288 319824 327456 426432 436608 479736 639648 654912 841759 852864 959472 1279296 1309824 1683518 1918944 2525277 2558592 3367036 3837888 5050554 6734072 7575831 7675776 10101108 13468144 15151662 20202216 22727493 26936288 30303324 40404432 45454986 53872576 60606648 80808864 90909972 107745152 121213296 161617728 181819944 242426592 323235456 363639888 484853184 727279776 969706368 1454559552 2909119104