Search a number
-
+
5020671267521 = 721325316217057
BaseRepresentation
bin100100100001111011101…
…0100111101001011000001
3122202222020012202022120222
41021003313110331023001
51124224313321030041
614402244201312425
71025505625431200
oct111036724751301
918688205668528
105020671267521
111666289050828
12691058795715
132a55a785b200
14135004c87237
158a8ec38674b
hex490f753d2c1

5020671267521 has 72 divisors (see below), whose sum is σ = 6448403560824. Its totient is φ = 3894492026880.

The previous prime is 5020671267511. The next prime is 5020671267559. The reversal of 5020671267521 is 1257621760205.

It can be written as a sum of positive squares in 12 ways, for example, as 106863610000 + 4913807657521 = 326900^2 + 2216711^2 .

It is not a de Polignac number, because 5020671267521 - 218 = 5020671005377 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5020671267511) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 711442025 + ... + 711449081.

It is an arithmetic number, because the mean of its divisors is an integer number (89561160567).

Almost surely, 25020671267521 is an apocalyptic number.

It is an amenable number.

5020671267521 is a deficient number, since it is larger than the sum of its proper divisors (1427732293303).

5020671267521 is a wasteful number, since it uses less digits than its factorization.

5020671267521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8771 (or 8751 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 44.

The spelling of 5020671267521 in words is "five trillion, twenty billion, six hundred seventy-one million, two hundred sixty-seven thousand, five hundred twenty-one".

Divisors: 1 7 13 49 53 91 169 371 637 689 1183 1621 2597 4823 7057 8281 8957 11347 21073 33761 49399 62699 79429 85913 91741 147511 273949 345793 374021 438893 601391 642187 1032577 1116869 1192633 1917643 2618147 4209737 4495309 4862273 7818083 8348431 11439397 13423501 14519297 18327029 34035911 54726581 58439017 63209549 80075779 101635079 148712161 238251377 442466843 560530453 606288041 711445553 1040985127 1933258093 3097267901 4244016287 7286895889 7881744533 13532806651 29708114009 55172211731 94729646557 102462678929 386205482117 717238752503 5020671267521