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133138491876 = 2232131971444081
BaseRepresentation
bin111101111111110101…
…1000010100111100100
3110201122122120011002200
41323333223002213210
54140131423220001
6141055111534500
712422203336305
oct1737753024744
9421578504080
10133138491876
1151511231575
122197798a430
13c72a188b10
1466302427ac
1536e3662086
hex1effac29e4

133138491876 has 72 divisors (see below), whose sum is σ = 364272572664. Its totient is φ = 40757713920.

The previous prime is 133138491859. The next prime is 133138491883. The reversal of 133138491876 is 678194831331.

133138491876 is a `hidden beast` number, since 13 + 3 + 138 + 491 + 8 + 7 + 6 = 666.

133138491876 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 65576966400 + 67561525476 = 256080^2 + 259926^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 629845 + ... + 814236.

It is an arithmetic number, because the mean of its divisors is an integer number (5059341287).

Almost surely, 2133138491876 is an apocalyptic number.

It is an amenable number.

133138491876 is an abundant number, since it is smaller than the sum of its proper divisors (231134080788).

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

133138491876 is a wasteful number, since it uses less digits than its factorization.

133138491876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1444301 (or 1444296 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The spelling of 133138491876 in words is "one hundred thirty-three billion, one hundred thirty-eight million, four hundred ninety-one thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 197 234 394 468 591 788 1182 1773 2364 2561 3546 5122 7092 7683 10244 15366 23049 30732 46098 92196 1444081 2888162 4332243 5776324 8664486 12996729 17328972 18773053 25993458 37546106 51986916 56319159 75092212 112638318 168957477 225276636 284483957 337914954 568967914 675829908 853451871 1137935828 1706903742 2560355613 3413807484 3698291441 5120711226 7396582882 10241422452 11094874323 14793165764 22189748646 33284622969 44379497292 66569245938 133138491876