Search a number
-
+
55603005760060 = 225112774092230861
BaseRepresentation
bin11001010010010000101010…
…11010000010001000111100
321021212121002001222212200221
430221020111122002020330
524241444423433310220
6314131400200031124
714466120213524203
oct1451102532021074
9237777061885627
1055603005760060
1116798114203170
1262a029a1624a4
132504458094995
14da32b24da23a
1566656602e9aa
hex32921568223c

55603005760060 has 96 divisors (see below), whose sum is σ = 128153919983040. Its totient is φ = 20097014630400.

The previous prime is 55603005760033. The next prime is 55603005760139. The reversal of 55603005760060 is 6006750030655.

It is a junction number, because it is equal to n+sod(n) for n = 55603005759989 and 55603005760016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23809030 + ... + 26039890.

It is an arithmetic number, because the mean of its divisors is an integer number (1334936666490).

Almost surely, 255603005760060 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 55603005760060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64076959991520).

55603005760060 is an abundant number, since it is smaller than the sum of its proper divisors (72550914222980).

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

55603005760060 is a wasteful number, since it uses less digits than its factorization.

55603005760060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2231567 (or 2231565 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 43.

The spelling of 55603005760060 in words is "fifty-five trillion, six hundred three billion, five million, seven hundred sixty thousand, sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 277 409 554 818 1108 1385 1636 2045 2770 3047 4090 4499 5540 6094 8180 8998 12188 15235 17996 22495 30470 44990 60940 89980 113293 226586 453172 566465 1132930 1246223 2230861 2265860 2492446 4461722 4984892 6231115 8923444 11154305 12462230 22308610 24539471 24924460 44617220 49078942 98157884 122697355 245394710 490789420 617948497 912422149 1235896994 1824844298 2471793988 3089742485 3649688596 4562110745 6179484970 6797433467 9124221490 10036643639 12358969940 13594866934 18248442980 20073287278 27189733868 33987167335 40146574556 50183218195 67974334670 100366436390 135948669340 200732872780 252740935273 505481870546 1010963741092 1263704676365 2527409352730 2780150288003 5054818705460 5560300576006 11120601152012 13900751440015 27801502880030 55603005760060