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12673920924 = 22327294736899
BaseRepresentation
bin10111100110110110…
…01010111110011100
31012201021012220001200
423303123022332130
5201424010432144
65453342035500
7626033356530
oct136333127634
935637186050
1012673920924
115414109415
122558578b90
13126c9727c2
14883327bc0
154e29e0c69
hex2f36caf9c

12673920924 has 144 divisors (see below), whose sum is σ = 38683008000. Its totient is φ = 3421772928.

The previous prime is 12673920923. The next prime is 12673920947. The reversal of 12673920924 is 42902937621.

It is a self number, because there is not a number n which added to its sum of digits gives 12673920924.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12673920923) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 325027 + ... + 361925.

It is an arithmetic number, because the mean of its divisors is an integer number (268632000).

Almost surely, 212673920924 is an apocalyptic number.

12673920924 is a gapful number since it is divisible by the number (14) 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 12673920924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19341504000).

12673920924 is an abundant number, since it is smaller than the sum of its proper divisors (26009087076).

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

12673920924 is a wasteful number, since it uses less digits than its factorization.

12673920924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36992 (or 36987 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 12673920924 in words is "twelve billion, six hundred seventy-three million, nine hundred twenty thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 47 58 63 84 87 94 116 126 141 174 188 203 252 261 282 329 348 406 423 522 564 609 658 812 846 987 1044 1218 1316 1363 1692 1827 1974 2436 2726 2961 3654 3948 4089 5452 5922 7308 8178 9541 11844 12267 16356 19082 24534 28623 36899 38164 49068 57246 73798 85869 110697 114492 147596 171738 221394 258293 332091 343476 442788 516586 664182 774879 1033172 1070071 1328364 1549758 1734253 2140142 2324637 3099516 3210213 3468506 4280284 4649274 5202759 6420426 6937012 7490497 9298548 9630639 10405518 12139771 12840852 14980994 15608277 19261278 20811036 22471491 24279542 29961988 31216554 36419313 38522556 44942982 48559084 50293337 62433108 67414473 72838626 89885964 100586674 109257939 134828946 145677252 150880011 201173348 218515878 269657892 301760022 352053359 437031756 452640033 603520044 704106718 905280066 1056160077 1408213436 1810560132 2112320154 3168480231 4224640308 6336960462 12673920924