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12847257990 = 2335714714621
BaseRepresentation
bin10111111011100000…
…11001100110000110
31020011100101022211000
423331300121212012
5202302344223430
65522453154130
7633236614440
oct137560314606
936140338730
1012847257990
1154a2a40096
1225a662b946
131299852a08
1489c369490
15502d2ee60
hex2fdc19986

12847257990 has 128 divisors (see below), whose sum is σ = 39188643840. Its totient is φ = 2933884800.

The previous prime is 12847257977. The next prime is 12847257991. The reversal of 12847257990 is 9975274821.

12847257990 is a `hidden beast` number, since 1 + 28 + 47 + 2 + 579 + 9 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12847257991) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2777880 + ... + 2782500.

It is an arithmetic number, because the mean of its divisors is an integer number (306161280).

Almost surely, 212847257990 is an apocalyptic number.

12847257990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12847257990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19594321920).

12847257990 is an abundant number, since it is smaller than the sum of its proper divisors (26341385850).

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

12847257990 is a wasteful number, since it uses less digits than its factorization.

12847257990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6115 (or 6109 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 12847257990 in words is "twelve billion, eight hundred forty-seven million, two hundred fifty-seven thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 630 945 1471 1890 2942 4413 4621 7355 8826 9242 10297 13239 13863 14710 20594 22065 23105 26478 27726 30891 32347 39717 41589 44130 46210 51485 61782 64694 66195 69315 79434 83178 92673 97041 102970 124767 132390 138630 154455 161735 185346 194082 198585 207945 249534 278019 291123 308910 323470 397170 415890 463365 485205 556038 582246 623835 873369 926730 970410 1247670 1390095 1455615 1746738 2780190 2911230 4366845 6797491 8733690 13594982 20392473 33987455 40784946 47582437 61177419 67974910 95164874 101962365 122354838 142747311 183532257 203924730 237912185 285494622 305887095 367064514 428241933 475824370 611774190 713736555 856483866 917661285 1284725799 1427473110 1835322570 2141209665 2569451598 4282419330 6423628995 12847257990