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12582986988 = 223112132332861
BaseRepresentation
bin10111011100000000…
…10010010011101100
31012110221002222011010
423232000102103230
5201232221040423
65440333025220
7623550424155
oct135600222354
935427088133
1012582986988
11537784a400
122532025210
131256b84740
1487521692c
154d9a2c693
hex2ee0124ec

12582986988 has 144 divisors (see below), whose sum is σ = 34915896288. Its totient is φ = 3503385600.

The previous prime is 12582986903. The next prime is 12582986989. The reversal of 12582986988 is 88968928521.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (12582986989) 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, 4396678 + ... + 4399538.

It is an arithmetic number, because the mean of its divisors is an integer number (242471502).

Almost surely, 212582986988 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12582986988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17457948144).

12582986988 is an abundant number, since it is smaller than the sum of its proper divisors (22332909300).

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

12582986988 is a wasteful number, since it uses less digits than its factorization.

12582986988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3136 (or 3123 counting only the distinct ones).

The product of its digits is 39813120, while the sum is 66.

The spelling of 12582986988 in words is "twelve billion, five hundred eighty-two million, nine hundred eighty-six thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 121 132 143 156 233 242 286 363 429 466 484 572 699 726 858 932 1398 1452 1573 1716 2563 2796 2861 3029 3146 4719 5126 5722 6058 6292 7689 8583 9087 9438 10252 11444 12116 15378 17166 18174 18876 28193 30756 31471 33319 34332 36348 37193 56386 62942 66638 74386 84579 94413 99957 111579 112772 125884 133276 148772 169158 188826 199914 223158 338316 346181 366509 377652 399828 409123 446316 666613 692362 733018 818246 1038543 1099527 1227369 1333226 1384724 1466036 1636492 1999839 2077086 2199054 2454738 2666452 3999678 4154172 4398108 4500353 4909476 7332743 7999356 8665969 9000706 13501059 14665486 17331938 18001412 21998229 25997907 27002118 29330972 34663876 43996458 51995814 54004236 80660173 87992916 95325659 103991628 161320346 190651318 241980519 285976977 322640692 381302636 483961038 571953954 967922076 1048582249 1143907908 2097164498 3145746747 4194328996 6291493494 12582986988