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30745000461 = 3721961181997
BaseRepresentation
bin11100101000100010…
…110111101000001101
32221100200010211212210
4130220202313220031
51000431210003321
622042444021033
72135614122600
oct345042675015
987320124783
1030745000461
111204782999a
125b60531779
132b8c82c086
1416b9378337
15bee239b76
hex7288b7a0d

30745000461 has 96 divisors (see below), whose sum is σ = 51352129920. Its totient is φ = 16264281600.

The previous prime is 30745000457. The next prime is 30745000469. The reversal of 30745000461 is 16400054703.

It is not a de Polignac number, because 30745000461 - 22 = 30745000457 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30745000469) 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 95 ways as a sum of consecutive naturals, for example, 30837015 + ... + 30838011.

It is an arithmetic number, because the mean of its divisors is an integer number (534918020).

Almost surely, 230745000461 is an apocalyptic number.

It is an amenable number.

30745000461 is a deficient number, since it is larger than the sum of its proper divisors (20607129459).

30745000461 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (30745000460) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (1275).

30745000461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1275 (or 1268 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The spelling of 30745000461 in words is "thirty billion, seven hundred forty-five million, four hundred sixty-one", and thus it is an aban number.

Divisors: 1 3 7 19 21 49 57 61 133 147 181 183 399 427 543 931 997 1159 1267 1281 2793 2989 2991 3439 3477 3801 6979 8113 8869 8967 10317 11041 18943 20937 24073 24339 26607 33123 48853 56791 56829 60817 72219 77287 132601 146559 168511 170373 180457 182451 209779 231861 397803 425719 505533 541009 541371 629337 928207 1155523 1263199 1277157 1468453 1623027 2784621 2980033 3428683 3466569 3789597 4405359 8088661 8842393 8940099 10279171 10286049 11007877 24000781 24265983 26527179 30837513 33023631 56620627 72002343 77055139 168005467 169861881 209149663 231165417 504016401 539385973 627448989 1464047641 1618157919 4392142923 10248333487 30745000461