Search a number
-
+
59220604942416 = 2434109419219369
BaseRepresentation
bin11010111011100010111110…
…00111101111100001010000
321202200102201210002022020000
431131301133013233201100
530230232244331124131
6325541323105250000
715321355540313001
oct1535613707574120
9252612653068200
1059220604942416
1117962354680645
126785424933900
13270762c715b48
14108a414b691a8
156ca6e56c3ce6
hex35dc5f1ef850

59220604942416 has 100 divisors (see below), whose sum is σ = 172974104255700. Its totient is φ = 19559098833408.

The previous prime is 59220604942391. The next prime is 59220604942453. The reversal of 59220604942416 is 61424940602295.

It is a happy number.

59220604942416 is a `hidden beast` number, since 5 + 9 + 2 + 2 + 0 + 604 + 9 + 4 + 24 + 1 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 42698331084816 + 16522273857600 = 6534396^2 + 4064760^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 209468421 + ... + 209750948.

It is an arithmetic number, because the mean of its divisors is an integer number (1729741042557).

Almost surely, 259220604942416 is an apocalyptic number.

It is an amenable number.

59220604942416 is an abundant number, since it is smaller than the sum of its proper divisors (113753499313284).

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

59220604942416 is a wasteful number, since it uses less digits than its factorization.

59220604942416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419219498 (or 419219483 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 59220604942416 in words is "fifty-nine trillion, two hundred twenty billion, six hundred four million, nine hundred forty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 109 144 162 216 218 324 327 432 436 648 654 872 981 1296 1308 1744 1962 2616 2943 3924 5232 5886 7848 8829 11772 15696 17658 23544 35316 47088 70632 141264 419219369 838438738 1257658107 1676877476 2515316214 3353754952 3772974321 5030632428 6707509904 7545948642 10061264856 11318922963 15091897284 20122529712 22637845926 30183794568 33956768889 45275691852 45694911221 60367589136 67913537778 90551383704 91389822442 135827075556 137084733663 181102767408 182779644884 271654151112 274169467326 365559289768 411254200989 543308302224 548338934652 731118579536 822508401978 1096677869304 1233762602967 1645016803956 2193355738608 2467525205934 3290033607912 3701287808901 4935050411868 6580067215824 7402575617802 9870100823736 14805151235604 19740201647472 29610302471208 59220604942416