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9925191045 = 3257118334511
BaseRepresentation
bin10010011111001011…
…00110010110000101
3221121200222221112100
421033211212112011
5130311322103140
64320511142313
7500645506020
oct111745462605
927550887470
109925191045
114233569a30
121b0bb14999
13c22356b13
146a224c1b7
153d1532530
hex24f966585

9925191045 has 96 divisors (see below), whose sum is σ = 21707771904. Its totient is φ = 4074940800.

The previous prime is 9925191013. The next prime is 9925191053. The reversal of 9925191045 is 5401915299.

9925191045 is a `hidden beast` number, since 9 + 92 + 519 + 1 + 0 + 45 = 666.

9925191045 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9925191045 - 25 = 9925191013 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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, 270340 + ... + 304850.

It is an arithmetic number, because the mean of its divisors is an integer number (226122624).

Almost surely, 29925191045 is an apocalyptic number.

9925191045 is the 57519-th octagonal number.

It is an amenable number.

9925191045 is an abundant number, since it is smaller than the sum of its proper divisors (11782580859).

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

9925191045 is a wasteful number, since it uses less digits than its factorization.

9925191045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34623 (or 34620 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 45.

The square root of 9925191045 is about 99625.2530486121. The cubic root of 9925191045 is about 2149.0488704442.

The spelling of 9925191045 in words is "nine billion, nine hundred twenty-five million, one hundred ninety-one thousand, forty-five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 55 63 77 83 99 105 165 231 249 315 385 415 495 581 693 747 913 1155 1245 1743 2739 2905 3465 3735 4565 5229 6391 8217 8715 13695 19173 26145 31955 34511 41085 57519 95865 103533 172555 241577 287595 310599 379621 517665 724731 1138863 1207885 1552995 1898105 2174193 2657347 2864413 3416589 3623655 5694315 7972041 8593239 10870965 13286735 14322065 17082945 20050891 23916123 25779717 31508543 39860205 42966195 60152673 94525629 100254455 119580615 128898585 157542715 180458019 220559801 283576887 300763365 472628145 661679403 902290095 1102799005 1417884435 1985038209 3308397015 9925191045