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135067952258 = 23128321012
BaseRepresentation
bin111110111001010101…
…1010110010010000010
3110220122010011220011022
41331302223112102002
54203104343433013
6142014354545442
712521052436241
oct1756253262202
9426563156138
10135067952258
1152311379728
1222215b98282
13c976b35b55
1467745b8958
1537a7c3e008
hex1f72ad6482

135067952258 has 54 divisors (see below), whose sum is σ = 214019757801. Its totient is φ = 63928758000.

The previous prime is 135067952251. The next prime is 135067952287. The reversal of 135067952258 is 852259760531.

135067952258 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 2 ways, for example, as 93750478969 + 41317473289 = 306187^2 + 203267^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=259873.

It is a super-3 number, since 3×1350679522583 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (135067952251) 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 26 ways as a sum of consecutive naturals, for example, 1337306408 + ... + 1337306508.

Almost surely, 2135067952258 is an apocalyptic number.

135067952258 is a deficient number, since it is larger than the sum of its proper divisors (78951805543).

135067952258 is an frugal number, since it uses more digits than its factorization.

135067952258 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 53.

The spelling of 135067952258 in words is "one hundred thirty-five billion, sixty-seven million, nine hundred fifty-two thousand, two hundred fifty-eight".

Divisors: 1 2 31 62 83 101 166 202 961 1922 2573 3131 5146 6262 6889 8383 10201 13778 16766 20402 79763 97061 159526 194122 213559 259873 316231 427118 519746 632462 695789 846683 1391578 1693366 6620329 8056063 9803161 13240658 16112126 19606322 21569459 26247173 43138918 52494346 70274689 140549378 668653229 813662363 1337306458 1627324726 2178515359 4357030718 67533976129 135067952258