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1318190000 = 2454193683
BaseRepresentation
bin100111010010001…
…1111101110110000
310101212101222201212
41032210133232300
510144424040000
6334445215252
744444300351
oct11644375660
93355358655
101318190000
116170a1726
12309561528
131801365aa
14c70d7d28
157aad4c35
hex4e91fbb0

1318190000 has 100 divisors (see below), whose sum is σ = 3212702856. Its totient is φ = 523776000.

The previous prime is 1318189987. The next prime is 1318190011. The reversal of 1318190000 is 918131.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×13181900002 = 3475249752200000000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1929659 + ... + 1930341.

Almost surely, 21318190000 is an apocalyptic number.

1318190000 is a gapful number since it is divisible by the number (10) 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 1318190000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1606351428).

1318190000 is an abundant number, since it is smaller than the sum of its proper divisors (1894512856).

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

1318190000 is an equidigital number, since it uses as much as digits as its factorization.

1318190000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 23.

The square root of 1318190000 is about 36306.8863991392. The cubic root of 1318190000 is about 1096.4596922598.

The spelling of 1318190000 in words is "one billion, three hundred eighteen million, one hundred ninety thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 193 200 250 386 400 500 625 683 772 965 1000 1250 1366 1544 1930 2000 2500 2732 3088 3415 3860 4825 5000 5464 6830 7720 9650 10000 10928 13660 15440 17075 19300 24125 27320 34150 38600 48250 54640 68300 77200 85375 96500 120625 131819 136600 170750 193000 241250 263638 273200 341500 386000 426875 482500 527276 659095 683000 853750 965000 1054552 1318190 1366000 1707500 1930000 2109104 2636380 3295475 3415000 5272760 6590950 6830000 10545520 13181900 16477375 26363800 32954750 52727600 65909500 82386875 131819000 164773750 263638000 329547500 659095000 1318190000