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12482729142 = 23132331389577
BaseRepresentation
bin10111010000000011…
…10101010010110110
31012012221110100020120
423220001311102312
5201031034313032
65422352112410
7621222306222
oct135001652266
935187410216
1012482729142
1153261a2184
122504535706
13123c180780
14865b99782
154d0d2662c
hex2e80754b6

12482729142 has 128 divisors (see below), whose sum is σ = 29084590080. Its totient is φ = 3540049920.

The previous prime is 12482729137. The next prime is 12482729261. The reversal of 12482729142 is 24192728421.

It is a junction number, because it is equal to n+sod(n) for n = 12482729094 and 12482729103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21633558 + ... + 21634134.

It is an arithmetic number, because the mean of its divisors is an integer number (227223360).

Almost surely, 212482729142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12482729142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14542295040).

12482729142 is an abundant number, since it is smaller than the sum of its proper divisors (16601860938).

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

12482729142 is a wasteful number, since it uses less digits than its factorization.

12482729142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038.

The product of its digits is 129024, while the sum is 42.

The spelling of 12482729142 in words is "twelve billion, four hundred eighty-two million, seven hundred twenty-nine thousand, one hundred forty-two".

Divisors: 1 2 3 6 13 23 26 31 39 46 62 69 78 93 138 186 299 389 403 577 598 713 778 806 897 1154 1167 1209 1426 1731 1794 2139 2334 2418 3462 4278 5057 7501 8947 9269 10114 12059 13271 15002 15171 17887 17894 18538 22503 24118 26542 26841 27807 30342 35774 36177 39813 45006 53661 53682 55614 72354 79626 107322 116311 156767 172523 224453 232531 232622 277357 313534 345046 348933 411401 448906 465062 470301 517569 554714 673359 697593 697866 822802 832071 940602 1035138 1234203 1346718 1395186 1664142 2468406 2917889 3605641 5162419 5348213 5835778 6958043 7211282 8753667 10324838 10696426 10816923 13916086 15487257 16044639 17507334 20874129 21633846 30974514 32089278 41748258 67111447 90454559 134222894 160034989 180909118 201334341 271363677 320069978 402668682 480104967 542727354 960209934 2080454857 4160909714 6241364571 12482729142