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13136281370880 = 283515432217049
BaseRepresentation
bin1011111100101000011101…
…1000101000000100000000
31201111211001000221110212020
42333022013120220010000
53210211101012332010
643534420243201440
72524031204214363
oct277120730500400
951454030843766
1013136281370880
11420507a40a828
121581a96076280
13743991003345
14335b298240da
1517ba88bb2470
hexbf287628100

13136281370880 has 144 divisors (see below), whose sum is σ = 41981207452800. Its totient is φ = 3500736528384.

The previous prime is 13136281370803. The next prime is 13136281370881. The reversal of 13136281370880 is 8807318263131.

It is a super-2 number, since 2×131362813708802 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13136281370881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4816596 + ... + 7033644.

Almost surely, 213136281370880 is an apocalyptic number.

13136281370880 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 13136281370880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20990603726400).

13136281370880 is an abundant number, since it is smaller than the sum of its proper divisors (28844926081920).

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

13136281370880 is a wasteful number, since it uses less digits than its factorization.

13136281370880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2218616 (or 2218602 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The spelling of 13136281370880 in words is "thirteen trillion, one hundred thirty-six billion, two hundred eighty-one million, three hundred seventy thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1543 1920 3086 3840 4629 6172 7715 9258 12344 15430 18516 23145 24688 30860 37032 46290 49376 61720 74064 92580 98752 123440 148128 185160 197504 246880 296256 370320 395008 493760 592512 740640 987520 1185024 1481280 1975040 2217049 2962560 4434098 5925120 6651147 8868196 11085245 13302294 17736392 22170490 26604588 33255735 35472784 44340980 53209176 66511470 70945568 88681960 106418352 133022940 141891136 177363920 212836704 266045880 283782272 354727840 425673408 532091760 567564544 709455680 851346816 1064183520 1418911360 1702693632 2128367040 2837822720 3420906607 4256734080 6841813214 8513468160 10262719821 13683626428 17104533035 20525439642 27367252856 34209066070 41050879284 51313599105 54734505712 68418132140 82101758568 102627198210 109469011424 136836264280 164203517136 205254396420 218938022848 273672528560 328407034272 410508792840 437876045696 547345057120 656814068544 821017585680 875752091392 1094690114240 1313628137088 1642035171360 2189380228480 2627256274176 3284070342720 4378760456960 6568140685440 13136281370880