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12746458984 = 237361271281
BaseRepresentation
bin10111101111011111…
…11000011101101000
31012220022201012120111
423313233320131220
5202101043141414
65504452504104
7630604054000
oct136757703550
935808635514
1012746458984
115451053326
12257891b034
1312819bc62c
1488cc0b000
154e906d8c4
hex2f7bf8768

12746458984 has 128 divisors (see below), whose sum is σ = 28533888000. Its totient is φ = 5334336000.

The previous prime is 12746458979. The next prime is 12746459093. The reversal of 12746458984 is 48985464721.

Its product of digits (15482880) is a multiple of the sum of its prime factors (640).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45360924 + ... + 45361204.

It is an arithmetic number, because the mean of its divisors is an integer number (222921000).

Almost surely, 212746458984 is an apocalyptic number.

12746458984 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 12746458984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14266944000).

12746458984 is an abundant number, since it is smaller than the sum of its proper divisors (15787429016).

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

12746458984 is a wasteful number, since it uses less digits than its factorization.

12746458984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 622 counting only the distinct ones).

The product of its digits is 15482880, while the sum is 58.

The spelling of 12746458984 in words is "twelve billion, seven hundred forty-six million, four hundred fifty-eight thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 28 49 56 61 98 122 196 244 271 281 343 392 427 488 542 562 686 854 1084 1124 1372 1708 1897 1967 2168 2248 2744 2989 3416 3794 3934 5978 7588 7868 11956 13279 13769 15176 15736 16531 17141 20923 23912 26558 27538 33062 34282 41846 53116 55076 66124 68564 76151 83692 92953 96383 106232 110152 115717 119987 132248 137128 152302 167384 185906 192766 231434 239974 304604 371812 385532 462868 479948 533057 609208 743624 771064 810019 839909 925736 959896 1066114 1620038 1679818 2132228 3240076 3359636 3731399 4264456 4645211 5670133 5879363 6480152 6719272 7462798 9290422 11340266 11758726 14925596 18580844 22680532 23517452 26119793 29851192 32516477 37161688 45361064 47034904 52239586 65032954 104479172 130065908 208958344 227615339 260131816 455230678 910461356 1593307373 1820922712 3186614746 6373229492 12746458984