Search a number
-
+
520050220416 = 27324283105401
BaseRepresentation
bin1111001000101010110…
…10001001110110000000
31211201100012020102221200
413210111122021312000
532010030324023131
61034524025021200
752400220636426
oct7442532116600
91751305212850
10520050220416
111906088788a1
1284957924800
133a06b05a21c
141b25605d116
15d7daebe2e6
hex7915689d80

520050220416 has 96 divisors (see below), whose sum is σ = 1496862286920. Its totient is φ = 173307955200.

The previous prime is 520050220411. The next prime is 520050220433. The reversal of 520050220416 is 614022050025.

520050220416 is a `hidden beast` number, since 5 + 20 + 0 + 5 + 0 + 220 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 520050220416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (520050220411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4881316 + ... + 4986716.

Almost surely, 2520050220416 is an apocalyptic number.

It is an amenable number.

520050220416 is an abundant number, since it is smaller than the sum of its proper divisors (976812066504).

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

520050220416 is a wasteful number, since it uses less digits than its factorization.

520050220416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109704 (or 109689 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 520050220416 in words is "five hundred twenty billion, fifty million, two hundred twenty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 4283 8566 12849 17132 25698 34264 38547 51396 68528 77094 102792 105401 137056 154188 205584 210802 274112 308376 316203 411168 421604 548224 616752 632406 822336 843208 948609 1233504 1264812 1644672 1686416 1897218 2467008 2529624 3372832 3794436 4934016 5059248 6745664 7588872 10118496 13491328 15177744 20236992 30355488 40473984 60710976 121421952 451432483 902864966 1354297449 1805729932 2708594898 3611459864 4062892347 5417189796 7222919728 8125784694 10834379592 14445839456 16251569388 21668759184 28891678912 32503138776 43337518368 57783357824 65006277552 86675036736 130012555104 173350073472 260025110208 520050220416