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5453714831761 = 724127921032
BaseRepresentation
bin100111101011100101010…
…1111000011100110010001
3201022100222202121200012101
41033113022233003212101
51203323201444104021
615333222500000401
71102006065125200
oct117271257034621
921270882550171
105453714831761
1118129a8931aa9
12740b72090101
1330738ac89b11
1414bd6579b237
1596ce4ba5a91
hex4f5cabc3991

5453714831761 has 81 divisors (see below), whose sum is σ = 6650541814203. Its totient is φ = 4459151511360.

The previous prime is 5453714831743. The next prime is 5453714831767. The reversal of 5453714831761 is 1671384173545.

It is a happy number.

The square root of 5453714831761 is 2335319.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 262790542161 + 5190924289600 = 512631^2 + 2278360^2 .

It is not a de Polignac number, because 5453714831761 - 237 = 5316275878289 is a prime.

It is a super-2 number, since 2×54537148317612 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5453714831767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 52948687636 + ... + 52948687738.

Almost surely, 25453714831761 is an apocalyptic number.

5453714831761 is the 2335319-th square number.

5453714831761 is the 1167660-th centered octagonal number.

It is an amenable number.

5453714831761 is a deficient number, since it is larger than the sum of its proper divisors (1196826982442).

5453714831761 is an frugal number, since it uses more digits than its factorization.

5453714831761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 230 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 55.

The spelling of 5453714831761 in words is "five trillion, four hundred fifty-three billion, seven hundred fourteen million, eight hundred thirty-one thousand, seven hundred sixty-one".

Divisors: 1 7 41 49 79 103 287 553 721 1681 2009 3239 3871 4223 5047 6241 8137 10609 11767 22673 29561 43687 56959 74263 82369 132799 158711 173143 206927 255881 305809 333617 398713 434969 519841 642823 838111 929593 1212001 1791167 2335319 3044783 4499761 5866777 6507151 8484007 10491121 12538169 13678297 16347233 17833729 21313481 26355743 31498327 34362551 41067439 66210769 73437847 95748079 124836103 184490201 240537857 463475383 514064929 670236553 873852721 1080585463 1291431407 1408864591 1683764999 2714641529 3244327681 7564098241 9862052137 19002490703 52948687687 69034364959 111300302689 133017434921 779102118823 5453714831761