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13871962008 = 23322693072333
BaseRepresentation
bin11001110101101010…
…10101011110011000
31022210202112200110200
430322311111132120
5211402210241013
610212300142200
71000521505632
oct147265253630
938722480420
1013871962008
1159793a7413
122831837960
131400c2c458
149584a7a52
15562c90e73
hex33ad55798

13871962008 has 96 divisors (see below), whose sum is σ = 37848610800. Its totient is φ = 4589823744.

The previous prime is 13871962007. The next prime is 13871962033. The reversal of 13871962008 is 80026917831.

13871962008 is a `hidden beast` number, since 1 + 3 + 8 + 7 + 19 + 620 + 0 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13871962007) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 5944810 + ... + 5947142.

Almost surely, 213871962008 is an apocalyptic number.

13871962008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13871962008 is an abundant number, since it is smaller than the sum of its proper divisors (23976648792).

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

13871962008 is a wasteful number, since it uses less digits than its factorization.

13871962008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2921 (or 2914 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 13871962008 in words is "thirteen billion, eight hundred seventy-one million, nine hundred sixty-two thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 269 307 538 614 807 921 1076 1228 1614 1842 2152 2333 2421 2456 2763 3228 3684 4666 4842 5526 6456 6999 7368 9332 9684 11052 13998 18664 19368 20997 22104 27996 41994 55992 82583 83988 165166 167976 247749 330332 495498 627577 660664 716231 743247 990996 1255154 1432462 1486494 1882731 1981992 2148693 2510308 2864924 2972988 3765462 4297386 5020616 5648193 5729848 5945976 6446079 7530924 8594772 11296386 12892158 15061848 17189544 22592772 25784316 45185544 51568632 192666139 385332278 577998417 770664556 1155996834 1541329112 1733995251 2311993668 3467990502 4623987336 6935981004 13871962008