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13850149824 = 26347381673
BaseRepresentation
bin11001110011000100…
…01000001111000000
31022202020111111210000
430321202020033000
5211331114243244
610210200440000
71000135221360
oct147142101700
938666444700
1013850149824
115968059615
122826479000
1313c9563234
1495562a9a0
15560dd3169
hex3398883c0

13850149824 has 140 divisors (see below), whose sum is σ = 46921474864. Its totient is φ = 3957175296.

The previous prime is 13850149777. The next prime is 13850149903. The reversal of 13850149824 is 42894105831.

13850149824 is a `hidden beast` number, since 1 + 38 + 501 + 4 + 98 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 13850149824.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 154549 + ... + 227124.

Almost surely, 213850149824 is an apocalyptic number.

13850149824 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13850149824 is an abundant number, since it is smaller than the sum of its proper divisors (33071325040).

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

13850149824 is an equidigital number, since it uses as much as digits as its factorization.

13850149824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381704 (or 381685 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 13850149824 in words is "thirteen billion, eight hundred fifty million, one hundred forty-nine thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 144 162 168 189 192 216 224 252 288 324 336 378 432 448 504 567 576 648 672 756 864 1008 1134 1296 1344 1512 1728 2016 2268 2592 3024 4032 4536 5184 6048 9072 12096 18144 36288 381673 763346 1145019 1526692 2290038 2671711 3053384 3435057 4580076 5343422 6106768 6870114 8015133 9160152 10305171 10686844 12213536 13740228 16030266 18320304 20610342 21373688 24045399 24427072 27480456 30915513 32060532 36640608 41220684 42747376 48090798 54960912 61831026 64121064 72136197 73281216 82441368 85494752 96181596 109921824 123662052 128242128 144272394 164882736 170989504 192363192 216408591 219843648 247324104 256484256 288544788 329765472 384726384 432817182 494648208 512968512 577089576 659530944 769452768 865634364 989296416 1154179152 1538905536 1731268728 1978592832 2308358304 3462537456 4616716608 6925074912 13850149824