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13673199780 = 22325378392447
BaseRepresentation
bin11001011101111110…
…00111100010100100
31022021220112111221200
430232333013202210
5211000314343110
610140440042500
7662556165132
oct145677074244
938256474850
1013673199780
11588718a409
122797163430
13139b9b9676
14939d28752
155505cd6c0
hex32efc78a4

13673199780 has 144 divisors (see below), whose sum is σ = 42664527360. Its totient is φ = 3541964544.

The previous prime is 13673199769. The next prime is 13673199797. The reversal of 13673199780 is 8799137631.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5586517 + ... + 5588963.

It is an arithmetic number, because the mean of its divisors is an integer number (296281440).

Almost surely, 213673199780 is an apocalyptic number.

13673199780 is a gapful number since it is divisible by the number (10) 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 13673199780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21332263680).

13673199780 is an abundant number, since it is smaller than the sum of its proper divisors (28991327580).

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

13673199780 is a wasteful number, since it uses less digits than its factorization.

13673199780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3338 (or 3333 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 54.

The spelling of 13673199780 in words is "thirteen billion, six hundred seventy-three million, one hundred ninety-nine thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 839 1110 1332 1665 1678 2220 2447 2517 3330 3356 4195 4894 5034 6660 7341 7551 8390 9788 10068 12235 12585 14682 15102 16780 22023 24470 25170 29364 30204 31043 36705 37755 44046 48940 50340 62086 73410 75510 88092 90539 93129 110115 124172 146820 151020 155215 181078 186258 220230 271617 279387 310430 362156 372516 440460 452695 465645 543234 558774 620860 814851 905390 931290 1086468 1117548 1358085 1396935 1629702 1810780 1862580 2053033 2716170 2793870 3259404 4074255 4106066 5432340 5587740 6159099 8148510 8212132 10265165 12318198 16297020 18477297 20530330 24636396 30795495 36954594 41060660 61590990 73909188 75962221 92386485 123181980 151924442 184772970 227886663 303848884 369545940 379811105 455773326 683659989 759622210 911546652 1139433315 1367319978 1519244420 2278866630 2734639956 3418299945 4557733260 6836599890 13673199780