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12918461000 = 235319679919
BaseRepresentation
bin11000000100000000…
…00001001001001000
31020100022100210222112
430002000001021020
5202424111223000
65533515241452
7635063051414
oct140200011110
936308323875
1012918461000
11552a152a55
122606449288
1312ab522c83
148a79c1d44
155091e7235
hex302001248

12918461000 has 64 divisors (see below), whose sum is σ = 31820256000. Its totient is φ = 4895409600.

The previous prime is 12918460969. The next prime is 12918461011. The reversal of 12918461000 is 16481921.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 320960 + ... + 358959.

It is an arithmetic number, because the mean of its divisors is an integer number (497191500).

Almost surely, 212918461000 is an apocalyptic number.

12918461000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12918461000 is an abundant number, since it is smaller than the sum of its proper divisors (18901795000).

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

12918461000 is a wasteful number, since it uses less digits than its factorization.

12918461000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679959 (or 679945 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 32.

The spelling of 12918461000 in words is "twelve billion, nine hundred eighteen million, four hundred sixty-one thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 125 152 190 200 250 380 475 500 760 950 1000 1900 2375 3800 4750 9500 19000 679919 1359838 2719676 3399595 5439352 6799190 12918461 13598380 16997975 25836922 27196760 33995950 51673844 64592305 67991900 84989875 103347688 129184610 135983800 169979750 258369220 322961525 339959500 516738440 645923050 679919000 1291846100 1614807625 2583692200 3229615250 6459230500 12918461000