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6146333130 = 2357216725037
BaseRepresentation
bin1011011100101100…
…11001100111001010
3120212100102001222210
411232112121213022
5100041430130010
62453521125550
7305211653400
oct55626314712
916770361883
106146333130
112674499063
1212364898b6
1376c4b2912
14424421470
1525e8e0b20
hex16e5999ca

6146333130 has 96 divisors (see below), whose sum is σ = 17262999936. Its totient is φ = 1396407936.

The previous prime is 6146333129. The next prime is 6146333189. The reversal of 6146333130 is 313336416.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 232972 + ... + 258008.

It is an arithmetic number, because the mean of its divisors is an integer number (179822916).

Almost surely, 26146333130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6146333130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8631499968).

6146333130 is an abundant number, since it is smaller than the sum of its proper divisors (11116666806).

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

6146333130 is a wasteful number, since it uses less digits than its factorization.

6146333130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25228 (or 25221 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 30.

The square root of 6146333130 is about 78398.5531116487. The cubic root of 6146333130 is about 1831.7745961709.

Adding to 6146333130 its reverse (313336416), we get a palindrome (6459669546).

The spelling of 6146333130 in words is "six billion, one hundred forty-six million, three hundred thirty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 167 210 245 294 334 490 501 735 835 1002 1169 1470 1670 2338 2505 3507 5010 5845 7014 8183 11690 16366 17535 24549 25037 35070 40915 49098 50074 75111 81830 122745 125185 150222 175259 245490 250370 350518 375555 525777 751110 876295 1051554 1226813 1752590 2453626 2628885 3680439 4181179 5257770 6134065 7360878 8362358 12268130 12543537 18402195 20905895 25087074 29268253 36804390 41811790 58536506 62717685 87804759 125435370 146341265 175609518 204877771 292682530 409755542 439023795 614633313 878047590 1024388855 1229266626 2048777710 3073166565 6146333130