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5434964694345 = 353767389607619
BaseRepresentation
bin100111100010110110100…
…1000111101010101001001
3201020120121000221000002110
41033011231020331111021
51203021301430204340
615320442135252533
71100443330442424
oct117055510752511
921216530830073
105434964694345
111805a5697626a
127393ba81a149
13305690514354
1414b0a74a49bb
1596598a24680
hex4f16d23d549

5434964694345 has 128 divisors (see below), whose sum is σ = 9117245030400. Its totient is φ = 2762035448832.

The previous prime is 5434964694301. The next prime is 5434964694347.

5434964694345 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5434964694345 - 29 = 5434964693833 is a prime.

It is a super-3 number, since 3×54349646943453 (a number of 39 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (5434964694347) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8780233446 + ... + 8780234064.

It is an arithmetic number, because the mean of its divisors is an integer number (71228476800).

Almost surely, 25434964694345 is an apocalyptic number.

It is an amenable number.

5434964694345 is a deficient number, since it is larger than the sum of its proper divisors (3682280336055).

5434964694345 is a wasteful number, since it uses less digits than its factorization.

5434964694345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1727.

The product of its digits is 671846400, while the sum is 66.

The spelling of 5434964694345 in words is "five trillion, four hundred thirty-four billion, nine hundred sixty-four million, six hundred ninety-four thousand, three hundred forty-five".

Divisors: 1 3 5 15 37 67 111 185 201 335 389 555 607 619 1005 1167 1821 1857 1945 2479 3035 3095 5835 7437 9105 9285 12395 14393 22459 22903 26063 37185 40669 41473 43179 67377 68709 71965 78189 112295 114515 122007 124419 130315 203345 207365 215895 236123 240791 336885 343545 375733 390945 610035 622095 708369 722373 964331 1127199 1180615 1203955 1504753 1534501 1878665 2892993 3541845 3611865 4514259 4603503 4821655 5635995 7523765 7672505 8736551 8909267 13902121 14464965 15820241 16132997 22571295 23017515 25174111 26209653 26727801 41706363 43682755 44546335 47460723 48398991 69510605 75522333 79101205 80664985 125870555 131048265 133639005 146160137 208531815 237303615 241994955 377611665 438480411 585348917 596920889 730800685 931442107 1756046751 1790762667 2192402055 2794326321 2926744585 2984604445 4657210535 5407925069 8780233755 8953813335 9792729179 13971631605 16223775207 27039625345 29378187537 48963645895 81118876035 146890937685 362330979623 1086992938869 1811654898115 5434964694345