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135049033967 = 192233721092
BaseRepresentation
bin111110111000110001…
…1001011100011101111
3110220120210120202010212
41331301203023203233
54203040023041332
6142012441253035
712520432564001
oct1756143134357
9426523522125
10135049033967
1152301728081
122220b79417b
13c972c40bb3
146771c92371
1537a62538b2
hex1f718cb8ef

135049033967 has 54 divisors (see below), whose sum is σ = 154271505528. Its totient is φ = 117978607296.

The previous prime is 135049033949. The next prime is 135049034023. The reversal of 135049033967 is 769330940531.

It is not a de Polignac number, because 135049033967 - 226 = 134981925103 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135049033937) 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 53 ways as a sum of consecutive naturals, for example, 1238981909 + ... + 1238982017.

It is an arithmetic number, because the mean of its divisors is an integer number (2856879732).

Almost surely, 2135049033967 is an apocalyptic number.

135049033967 is a deficient number, since it is larger than the sum of its proper divisors (19222471561).

135049033967 is an equidigital number, since it uses as much as digits as its factorization.

135049033967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 50.

The spelling of 135049033967 in words is "one hundred thirty-five billion, forty-nine million, thirty-three thousand, nine hundred sixty-seven".

Divisors: 1 19 23 37 109 361 437 703 851 1369 2071 2507 4033 8303 11881 13357 16169 26011 31487 39349 47633 76627 92759 149221 225739 273263 307211 439597 494209 598253 905027 1455913 1762421 2835199 3432083 4289041 5191997 8352343 10110731 11366807 16265089 33485999 53868781 65209577 98647943 158694517 192103889 309036691 374097047 1238981963 3649973891 5871697129 7107843893 135049033967