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13788712050 = 2352414674801
BaseRepresentation
bin11001101011101111…
…10000110001110010
31022120221220010222220
430311313300301302
5211214402241200
610200123541510
7665461055451
oct146567606162
938527803886
1013788712050
1159364064a3
12280998a896
1313b9901a19
1494b3d6b98
1555a7e94a0
hex335df0c72

13788712050 has 96 divisors (see below), whose sum is σ = 35112377664. Its totient is φ = 3578880000.

The previous prime is 13788712043. The next prime is 13788712057. The reversal of 13788712050 is 5021788731.

It is an interprime number because it is at equal distance from previous prime (13788712043) and next prime (13788712057).

It is a junction number, because it is equal to n+sod(n) for n = 13788711993 and 13788712011.

It is not an unprimeable number, because it can be changed into a prime (13788712057) 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 47 ways as a sum of consecutive naturals, for example, 2869650 + ... + 2874450.

It is an arithmetic number, because the mean of its divisors is an integer number (365753934).

Almost surely, 213788712050 is an apocalyptic number.

13788712050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13788712050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17556188832).

13788712050 is an abundant number, since it is smaller than the sum of its proper divisors (21323665614).

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

13788712050 is a wasteful number, since it uses less digits than its factorization.

13788712050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5324 (or 5319 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 42.

The spelling of 13788712050 in words is "thirteen billion, seven hundred eighty-eight million, seven hundred twelve thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 30 41 50 75 82 123 150 205 246 410 467 615 934 1025 1230 1401 2050 2335 2802 3075 4670 4801 6150 7005 9602 11675 14010 14403 19147 23350 24005 28806 35025 38294 48010 57441 70050 72015 95735 114882 120025 144030 191470 196841 240050 287205 360075 393682 478675 574410 590523 720150 957350 984205 1181046 1436025 1968410 2242067 2872050 2952615 4484134 4921025 5905230 6726201 9842050 11210335 13452402 14763075 22420670 29526150 33631005 56051675 67262010 91924747 112103350 168155025 183849494 275774241 336310050 459623735 551548482 919247470 1378871205 2298118675 2757742410 4596237350 6894356025 13788712050