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345466242664543 = 711213269353330409
BaseRepresentation
bin100111010001100110010000…
…0101011010000100001011111
31200022012020202102211010011201
41032203030200223100201133
5330240104331110231133
63222425000111300331
7132524053354543660
oct11643144053204137
91608166672733151
10345466242664543
11a0092457774800
12328b580981a6a7
1311a9c43326c6a0
146144926449367
1529e1582eb6d7d
hex13a3320ad085f

345466242664543 has 96 divisors (see below), whose sum is σ = 470424435868800. Its totient is φ = 246861403176960.

The previous prime is 345466242664537. The next prime is 345466242664573.

345466242664543 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-345466242664543 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345466242664573) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1045406323 + ... + 1045736731.

It is an arithmetic number, because the mean of its divisors is an integer number (4900254540300).

Almost surely, 2345466242664543 is an apocalyptic number.

345466242664543 is a deficient number, since it is larger than the sum of its proper divisors (124958193204257).

345466242664543 is a wasteful number, since it uses less digits than its factorization.

345466242664543 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331073 (or 331062 counting only the distinct ones).

The product of its digits is 1194393600, while the sum is 64.

The spelling of 345466242664543 in words is "three hundred forty-five trillion, four hundred sixty-six billion, two hundred forty-two million, six hundred sixty-four thousand, five hundred forty-three".

Divisors: 1 7 11 13 77 91 121 143 269 353 847 1001 1573 1883 2471 2959 3497 3883 4589 11011 20713 24479 27181 32123 32549 38467 42713 50479 94957 227843 269269 298991 330409 353353 423137 555269 664699 1044527 1234441 2312863 2961959 3634499 3886883 4295317 7311689 8641087 11489797 13578851 25441493 30067219 39979489 47248487 80428579 88880021 95051957 116634377 149367361 279856423 330739409 519733357 622160147 816440639 977680231 1045571527 1155440273 1282978147 1516246901 3638133499 6843761617 8088081911 8980847029 10613728307 10754482541 12709843003 14112759617 16678715911 31374647413 75281377787 88968901021 98789317319 116751011377 139808273033 183465875021 219622531891 345121121543 407870416369 978657911231 1284261125147 2415847850801 2855092914583 3796332336973 4486574580059 26574326358811 31406022060413 49352320380649 345466242664543