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92343122134329 = 311411631512127691
BaseRepresentation
bin10100111111110001001110…
…111111100000010100111001
3110002221220201221202112210210
4110333301032333200110321
544100422203231244304
6524221502240501333
725310366436142533
oct2477611677402471
9402856657675723
1092343122134329
1127472553078a90
12a43487091a849
133c6abc420aa01
1418b360679c853
15aa20cab6bc89
hex53fc4efe0539

92343122134329 has 64 divisors (see below), whose sum is σ = 138451585176576. Its totient is φ = 54259994880000.

The previous prime is 92343122134309. The next prime is 92343122134339.

92343122134329 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 92343122134329 - 228 = 92342853698873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (92343122134309) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3334756374 + ... + 3334784064.

It is an arithmetic number, because the mean of its divisors is an integer number (2163306018384).

Almost surely, 292343122134329 is an apocalyptic number.

It is an amenable number.

92343122134329 is a deficient number, since it is larger than the sum of its proper divisors (46108463042247).

92343122134329 is a wasteful number, since it uses less digits than its factorization.

92343122134329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43030.

The product of its digits is 1679616, while the sum is 48.

The spelling of 92343122134329 in words is "ninety-two trillion, three hundred forty-three billion, one hundred twenty-two million, one hundred thirty-four thousand, three hundred twenty-nine".

Divisors: 1 3 11 33 41 123 163 451 489 1353 1793 5379 6683 15121 20049 27691 45363 73513 83073 166331 220539 304601 498993 619961 913803 1135331 1859883 2464723 3405993 4513633 6819571 7394169 12488641 13540899 20458713 27111953 37465923 49649963 81335859 101053643 148949889 185058953 303160929 418715611 555176859 1111590073 1256146833 2035648483 3334770219 4605871721 6106945449 13817615163 17167340051 51502020153 68250644593 188840740561 204751933779 566522221683 750757090523 2252271271569 2798276428313 8394829284939 30781040711443 92343122134329