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13810788072 = 23322814091669
BaseRepresentation
bin11001101110010111…
…11110011011101000
31022122111102201121100
430313023332123220
5211241030204242
610202233041400
7666146522154
oct146713763350
938574381540
1013810788072
115947914544
122815256260
1313c1361063
14950302064
1555c70a54c
hex3372fe6e8

13810788072 has 96 divisors (see below), whose sum is σ = 37651653000. Its totient is φ = 4573255680.

The previous prime is 13810788029. The next prime is 13810788073. The reversal of 13810788072 is 27088701831.

It can be written as a sum of positive squares in 4 ways, for example, as 13786047396 + 24740676 = 117414^2 + 4974^2 .

It is not an unprimeable number, because it can be changed into a prime (13810788073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8274054 + ... + 8275722.

Almost surely, 213810788072 is an apocalyptic number.

13810788072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13810788072 is an abundant number, since it is smaller than the sum of its proper divisors (23840864928).

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

13810788072 is a wasteful number, since it uses less digits than its factorization.

13810788072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2371 (or 2364 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The spelling of 13810788072 in words is "thirteen billion, eight hundred ten million, seven hundred eighty-eight thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 281 409 562 818 843 1124 1227 1636 1669 1686 2248 2454 2529 3272 3338 3372 3681 4908 5007 5058 6676 6744 7362 9816 10014 10116 13352 14724 15021 20028 20232 29448 30042 40056 60084 114929 120168 229858 344787 459716 468989 682621 689574 919432 937978 1034361 1365242 1379148 1406967 1875956 2047863 2068722 2730484 2758296 2813934 3751912 4095726 4137444 4220901 5460968 5627868 6143589 8191452 8274888 8441802 11255736 12287178 16382904 16883604 24574356 33767208 49148712 191816501 383633002 575449503 767266004 1150899006 1534532008 1726348509 2301798012 3452697018 4603596024 6905394036 13810788072