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12107328948 = 223211139072593
BaseRepresentation
bin10110100011010011…
…10010110110110100
31011020210002000222200
423101221302312310
5144243434011243
65321222024500
7606013412061
oct132151626664
934223060880
1012107328948
1151532a9490
12241a878130
1311ac473190
1482bd99c68
154acdc1ad3
hex2d1a72db4

12107328948 has 144 divisors (see below), whose sum is σ = 36008621376. Its totient is φ = 3381626880.

The previous prime is 12107328917. The next prime is 12107328997. The reversal of 12107328948 is 84982370121.

It is a happy number.

It is a congruent 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, 4667940 + ... + 4670532.

Almost surely, 212107328948 is an apocalyptic number.

12107328948 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12107328948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18004310688).

12107328948 is an abundant number, since it is smaller than the sum of its proper divisors (23901292428).

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

12107328948 is a wasteful number, since it uses less digits than its factorization.

12107328948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3534 (or 3529 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 12107328948 in words is "twelve billion, one hundred seven million, three hundred twenty-eight thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 132 143 156 198 234 286 396 429 468 572 858 907 1287 1716 1814 2574 2593 2721 3628 5148 5186 5442 7779 8163 9977 10372 10884 11791 15558 16326 19954 23337 23582 28523 29931 31116 32652 33709 35373 39908 46674 47164 57046 59862 67418 70746 85569 89793 93348 101127 106119 114092 119724 129701 134836 141492 171138 179586 202254 212238 256707 259402 303381 342276 359172 370799 389103 404508 424476 513414 518804 606762 741598 778206 1026828 1112397 1167309 1213524 1483196 1556412 2224794 2334618 2351851 3337191 4449588 4669236 4703702 6674382 7055553 9407404 13348764 14111106 21166659 25870361 28222212 30574063 42333318 51740722 61148126 77611083 84666636 91722189 103481444 122296252 155222166 183444378 232833249 275166567 310444332 336314693 366888756 465666498 550333134 672629386 931332996 1008944079 1100666268 1345258772 2017888158 3026832237 4035776316 6053664474 12107328948