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13275701505720 = 2333519646964011
BaseRepresentation
bin1100000100101111110101…
…1110001110111010111000
31202000010220110112011011000
43001023331132032322320
53220002114041140340
644122434552405000
72540065154624613
oct301137536167270
952003813464130
1013275701505720
114259214448665
1215a4b056a6760
13753b7c6c9354
1433c79402b17a
151804e8a41d30
hexc12fd78eeb8

13275701505720 has 128 divisors (see below), whose sum is σ = 46581408864000. Its totient is φ = 3353861427840.

The previous prime is 13275701505697. The next prime is 13275701505751. The reversal of 13275701505720 is 2750510757231.

13275701505720 is a `hidden beast` number, since 1 + 3 + 2 + 7 + 5 + 70 + 1 + 5 + 0 + 572 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 323461486 + ... + 323502525.

It is an arithmetic number, because the mean of its divisors is an integer number (363917256750).

Almost surely, 213275701505720 is an apocalyptic number.

13275701505720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13275701505720 is an abundant number, since it is smaller than the sum of its proper divisors (33305707358280).

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

13275701505720 is a wasteful number, since it uses less digits than its factorization.

13275701505720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646964050 (or 646964040 counting only the distinct ones).

The product of its (nonzero) digits is 514500, while the sum is 45.

The spelling of 13275701505720 in words is "thirteen trillion, two hundred seventy-five billion, seven hundred one million, five hundred five thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 27 30 36 38 40 45 54 57 60 72 76 90 95 108 114 120 135 152 171 180 190 216 228 270 285 342 360 380 456 513 540 570 684 760 855 1026 1080 1140 1368 1710 2052 2280 2565 3420 4104 5130 6840 10260 20520 646964011 1293928022 1940892033 2587856044 3234820055 3881784066 5175712088 5822676099 6469640110 7763568132 9704460165 11645352198 12292316209 12939280220 15527136264 17468028297 19408920330 23290704396 24584632418 25878560440 29113380495 34936056594 36876948627 38817840660 46581408792 49169264836 58226760990 61461581045 69872113188 73753897254 77635681320 87340141485 98338529672 110630845881 116453521980 122923162090 139744226376 147507794508 174680282970 184384743135 221261691762 232907043960 245846324180 295015589016 331892537643 349360565940 368769486270 442523383524 491692648360 553154229405 663785075286 698721131880 737538972540 885046767048 1106308458810 1327570150572 1475077945080 1659462688215 2212616917620 2655140301144 3318925376430 4425233835240 6637850752860 13275701505720