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133731537768 = 233211316437013
BaseRepresentation
bin111110010001100000…
…1010101001101101000
3110210011222111000010100
41330203001111031220
54142340233202033
6141234014545400
712442664213133
oct1744301251550
9423158430110
10133731537768
1151795a6a744
1221b02508260
13c7c2cbb34a
146688cd921a
15372a759513
hex1f23055368

133731537768 has 48 divisors (see below), whose sum is σ = 365394821220. Its totient is φ = 44182688256.

The previous prime is 133731537691. The next prime is 133731537769. The reversal of 133731537768 is 867735137331.

It is a happy number.

133731537768 is a `hidden beast` number, since 1 + 3 + 3 + 7 + 31 + 537 + 76 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 102798466884 + 30933070884 = 320622^2 + 175878^2 .

It is not an unprimeable number, because it can be changed into a prime (133731537769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8210371 + ... + 8226642.

Almost surely, 2133731537768 is an apocalyptic number.

133731537768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

133731537768 is an abundant number, since it is smaller than the sum of its proper divisors (231663283452).

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

133731537768 is a wasteful number, since it uses less digits than its factorization.

133731537768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16437138 (or 16437131 counting only the distinct ones).

The product of its digits is 6667920, while the sum is 54.

The spelling of 133731537768 in words is "one hundred thirty-three billion, seven hundred thirty-one million, five hundred thirty-seven thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 113 226 339 452 678 904 1017 1356 2034 2712 4068 8136 16437013 32874026 49311039 65748052 98622078 131496104 147933117 197244156 295866234 394488312 591732468 1183464936 1857382469 3714764938 5572147407 7429529876 11144294814 14859059752 16716442221 22288589628 33432884442 44577179256 66865768884 133731537768