Search a number
-
+
208466745424 = 247371535013
BaseRepresentation
bin1100001000100110010…
…1100001100001010000
3201221002101221220202021
43002021211201201100
511403414441323144
6235433541501224
721030000046000
oct3021145414120
9657071856667
10208466745424
1180457052373
123449b111814
1316873472c02
14a138766000
155651919884
hex3089961850

208466745424 has 80 divisors (see below), whose sum is σ = 477660499200. Its totient is φ = 88084375680.

The previous prime is 208466745401. The next prime is 208466745433. The reversal of 208466745424 is 424547664802.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122142 + ... + 657154.

It is an arithmetic number, because the mean of its divisors is an integer number (5970756240).

Almost surely, 2208466745424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 208466745424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238830249600).

208466745424 is an abundant number, since it is smaller than the sum of its proper divisors (269193753776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

208466745424 is an equidigital number, since it uses as much as digits as its factorization.

208466745424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535113 (or 535093 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 52.

The spelling of 208466745424 in words is "two hundred eight billion, four hundred sixty-six million, seven hundred forty-five thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 71 98 112 142 196 284 343 392 497 568 686 784 994 1136 1372 1988 2744 3479 3976 5488 6958 7952 13916 24353 27832 48706 55664 97412 194824 389648 535013 1070026 2140052 3745091 4280104 7490182 8560208 14980364 26215637 29960728 37985923 52431274 59921456 75971846 104862548 151943692 183509459 209725096 265901461 303887384 367018918 419450192 531802922 607774768 734037836 1063605844 1468075672 1861310227 2127211688 2936151344 3722620454 4254423376 7445240908 13029171589 14890481816 26058343178 29780963632 52116686356 104233372712 208466745424