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12675730760 = 23571117323789
BaseRepresentation
bin10111100111000100…
…00100110101001000
31012201101121211200122
423303202010311020
5201424441341020
65453444522412
7626054635160
oct136342046510
935641554618
1012675730760
115415135150
1225590b0408
131270157504
148836795a0
154e2c4c125
hex2f3884d48

12675730760 has 128 divisors (see below), whose sum is σ = 35764934400. Its totient is φ = 3927874560.

The previous prime is 12675730751. The next prime is 12675730763. The reversal of 12675730760 is 6703757621.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (12675730763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 520946 + ... + 544734.

It is an arithmetic number, because the mean of its divisors is an integer number (279413550).

Almost surely, 212675730760 is an apocalyptic number.

12675730760 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 12675730760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17882467200).

12675730760 is an abundant number, since it is smaller than the sum of its proper divisors (23089203640).

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

12675730760 is a wasteful number, since it uses less digits than its factorization.

12675730760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23991 (or 23987 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 44.

The spelling of 12675730760 in words is "twelve billion, six hundred seventy-five million, seven hundred thirty thousand, seven hundred sixty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 173 220 280 308 346 385 440 616 692 770 865 1211 1384 1540 1730 1903 2422 3080 3460 3806 4844 6055 6920 7612 9515 9688 12110 13321 15224 19030 23789 24220 26642 38060 47578 48440 53284 66605 76120 95156 106568 118945 133210 166523 190312 237890 261679 266420 333046 475780 523358 532840 666092 832615 951560 1046716 1308395 1332184 1665230 1831753 2093432 2616790 3330460 3663506 4115497 5233580 6660920 7327012 8230994 9158765 10467160 14654024 16461988 18317530 20577485 28808479 32923976 36635060 41154970 45270467 57616958 73270120 82309940 90540934 115233916 144042395 164619880 181081868 226352335 230467832 288084790 316893269 362163736 452704670 576169580 633786538 905409340 1152339160 1267573076 1584466345 1810818680 2535146152 3168932690 6337865380 12675730760