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463137012 = 2232138311923
BaseRepresentation
bin11011100110101…
…110100011110100
31012021110210112200
4123212232203310
51422030341022
6113542344500
714322412452
oct3346564364
91167423480
10463137012
11218479768
1210b12b130
1374c49390
144571b9d2
152a9d5bac
hex1b9ae8f4

463137012 has 72 divisors (see below), whose sum is σ = 1276058784. Its totient is φ = 140774976.

The previous prime is 463137011. The next prime is 463137049. The reversal of 463137012 is 210731364.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463137011) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 32883 + ... + 44805.

Almost surely, 2463137012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 463137012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638029392).

463137012 is an abundant number, since it is smaller than the sum of its proper divisors (812921772).

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

463137012 is a wasteful number, since it uses less digits than its factorization.

463137012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12029 (or 12024 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 463137012 is about 21520.6182996679. The cubic root of 463137012 is about 773.6950704775.

Adding to 463137012 its reverse (210731364), we get a palindrome (673868376).

The spelling of 463137012 in words is "four hundred sixty-three million, one hundred thirty-seven thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 83 117 156 166 234 249 332 468 498 747 996 1079 1494 2158 2988 3237 4316 6474 9711 11923 12948 19422 23846 35769 38844 47692 71538 107307 143076 154999 214614 309998 429228 464997 619996 929994 989609 1394991 1859988 1979218 2789982 2968827 3958436 5579964 5937654 8906481 11875308 12864917 17812962 25729834 35625924 38594751 51459668 77189502 115784253 154379004 231568506 463137012