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67110067134 = 23311229354169
BaseRepresentation
bin111110100000000100…
…100101101110111110
320102020000102122021000
4332200010211232332
52044420134122014
650455133351130
74564023105255
oct764004455676
9212200378230
1067110067134
1126508979800
121100b0384a6
1364367bcbc6
143368ca179c
151b2ba5e509
hexfa0125bbe

67110067134 has 96 divisors (see below), whose sum is σ = 169576596000. Its totient is φ = 19635073920.

The previous prime is 67110067133. The next prime is 67110067223. The reversal of 67110067134 is 43176001176.

It is a super-2 number, since 2×671100671342 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67110067133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12402 + ... + 366570.

It is an arithmetic number, because the mean of its divisors is an integer number (1766422875).

Almost surely, 267110067134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67110067134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84788298000).

67110067134 is an abundant number, since it is smaller than the sum of its proper divisors (102466528866).

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

67110067134 is a wasteful number, since it uses less digits than its factorization.

67110067134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354231 (or 354214 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 67110067134 in words is "sixty-seven billion, one hundred ten million, sixty-seven thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 27 29 33 54 58 66 87 99 121 174 198 242 261 297 319 363 522 594 638 726 783 957 1089 1566 1914 2178 2871 3267 3509 5742 6534 7018 8613 10527 17226 21054 31581 63162 94743 189486 354169 708338 1062507 2125014 3187521 3895859 6375042 7791718 9562563 10270901 11687577 19125126 20541802 23375154 30812703 35062731 42854449 61625406 70125462 85708898 92438109 105188193 112979911 128563347 184876218 210376386 225959822 257126694 277314327 338939733 385690041 554628654 677879466 771380082 1016819199 1157070123 1242779021 2033638398 2314140246 2485558042 3050457597 3728337063 6100915194 7456674126 11185011189 22370022378 33555033567 67110067134