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67500492012 = 223243313139313
BaseRepresentation
bin111110110111010101…
…111100010011101100
320110020020002021111200
4332313111330103230
52101220111221022
651002001445500
74606503500232
oct766725742354
9213206067450
1067500492012
11266992a4798
12110b9940890
13649965b145
1433a4a92952
151b50e80bac
hexfb757c4ec

67500492012 has 72 divisors (see below), whose sum is σ = 175153362384. Its totient is φ = 21906533376.

The previous prime is 67500492001. The next prime is 67500492029. The reversal of 67500492012 is 21029400576.

67500492012 is a `hidden beast` number, since 67 + 500 + 4 + 92 + 0 + 1 + 2 = 666.

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 (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 414868 + ... + 554180.

Almost surely, 267500492012 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 67500492012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87576681192).

67500492012 is an abundant number, since it is smaller than the sum of its proper divisors (107652870372).

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

67500492012 is a wasteful number, since it uses less digits than its factorization.

67500492012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139679 (or 139674 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Adding to 67500492012 its reverse (21029400576), we get a palindrome (88529892588).

The spelling of 67500492012 in words is "sixty-seven billion, five hundred million, four hundred ninety-two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 258 313 387 516 626 774 939 1252 1548 1878 2817 3756 5634 11268 13459 26918 40377 53836 80754 121131 139313 161508 242262 278626 417939 484524 557252 835878 1253817 1671756 2507634 5015268 5990459 11980918 17971377 23961836 35942754 43604969 53914131 71885508 87209938 107828262 130814907 174419876 215656524 261629814 392444721 523259628 784889442 1569778884 1875013667 3750027334 5625041001 7500054668 11250082002 16875123003 22500164004 33750246006 67500492012