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134336610624465 = 32517297737833493
BaseRepresentation
bin11110100010110110101101…
…111101001110001111010001
3122121122110021100222102210100
4132202312231331032033101
5120101432334304440330
61153413215325523013
740203333304623564
oct3642665575161721
9577573240872710
10134336610624465
1139892922605127
1213097403113469
1359c5b70cb8b02
142525cd8a084db
15107e60bd90060
hex7a2dadf4e3d1

134336610624465 has 96 divisors (see below), whose sum is σ = 255378797874720. Its totient is φ = 65022245019648.

The previous prime is 134336610624383. The next prime is 134336610624497. The reversal of 134336610624465 is 564426016633431.

134336610624465 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 3 + 6 + 6 + 1 + 0 + 624 + 4 + 6 + 5 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 44367269087376 + 89969341537089 = 6660876^2 + 9485217^2 .

It is not a de Polignac number, because 134336610624465 - 218 = 134336610362321 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13232259 + ... + 21065751.

It is an arithmetic number, because the mean of its divisors is an integer number (2660195811195).

Almost surely, 2134336610624465 is an apocalyptic number.

134336610624465 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

134336610624465 is a deficient number, since it is larger than the sum of its proper divisors (121042187250255).

134336610624465 is a wasteful number, since it uses less digits than its factorization.

134336610624465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7834323 (or 7834320 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 54.

The spelling of 134336610624465 in words is "one hundred thirty-four trillion, three hundred thirty-six billion, six hundred ten million, six hundred twenty-four thousand, four hundred sixty-five".

Divisors: 1 3 5 9 15 17 29 45 51 85 87 145 153 255 261 435 493 765 773 1305 1479 2319 2465 3865 4437 6957 7395 11595 13141 22185 22417 34785 39423 65705 67251 112085 118269 197115 201753 336255 381089 591345 1008765 1143267 1905445 3429801 5716335 7833493 17149005 23500479 39167465 70501437 117502395 133169381 227171297 352507185 399508143 665846905 681513891 1135856485 1198524429 1997540715 2044541673 3407569455 3861912049 5992622145 6055290089 10222708365 11585736147 18165870267 19309560245 30276450445 34757208441 54497610801 57928680735 90829351335 102939931513 173786042205 175603412581 272488054005 308819794539 514699657565 526810237743 878017062905 926459383617 1544098972695 1580430713229 2634051188715 2985258013877 4632296918085 7902153566145 8955774041631 14926290069385 26867322124893 44778870208155 134336610624465