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133507702287 = 321923926312421
BaseRepresentation
bin111110001010110101…
…1011101111000001111
3110202121101021222120100
41330111223131320033
54141410432433122
6141155501222143
712434305513431
oct1742553357017
9422541258510
10133507702287
1151690687843
1221a5b561953
13c788809c0b
1466672b0651
153715c92aac
hex1f15adde0f

133507702287 has 48 divisors (see below), whose sum is σ = 204635059200. Its totient is φ = 83641844160.

The previous prime is 133507702271. The next prime is 133507702331. The reversal of 133507702287 is 782207705331.

It is a happy number.

133507702287 is a `hidden beast` number, since 1 + 3 + 350 + 7 + 70 + 228 + 7 = 666.

It is not a de Polignac number, because 133507702287 - 24 = 133507702271 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133507702187) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 10742337 + ... + 10754757.

It is an arithmetic number, because the mean of its divisors is an integer number (4263230400).

Almost surely, 2133507702287 is an apocalyptic number.

133507702287 is a deficient number, since it is larger than the sum of its proper divisors (71127356913).

133507702287 is a wasteful number, since it uses less digits than its factorization.

133507702287 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12948 (or 12945 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 133507702287 in words is "one hundred thirty-three billion, five hundred seven million, seven hundred two thousand, two hundred eighty-seven".

Divisors: 1 3 9 19 57 171 239 263 717 789 2151 2367 4541 4997 12421 13623 14991 37263 40869 44973 62857 111789 188571 235999 565713 707997 1194283 2123991 2968619 3266723 3582849 8905857 9800169 10748547 26717571 29400507 56403761 62067737 169211283 186203211 507633849 558609633 780746797 2342240391 7026721173 14834189143 44502567429 133507702287