Search a number
-
+
75550460000 = 255419198817
BaseRepresentation
bin100011001011100101…
…0001000100001100000
321020000020112000121012
41012113022020201200
52214211404210000
654412444320052
75313132212531
oct1062712104140
9236006460535
1075550460000
112a04a2a08a4
1212785843028
137180347c02
143929c46688
151e72a4b735
hex1197288860

75550460000 has 120 divisors (see below), whose sum is σ = 195648841080. Its totient is φ = 28629504000.

The previous prime is 75550459993. The next prime is 75550460021. The reversal of 75550460000 is 6405557.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 19 ways as a sum of consecutive naturals, for example, 280592 + ... + 479408.

It is an arithmetic number, because the mean of its divisors is an integer number (1630407009).

Almost surely, 275550460000 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 75550460000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97824420540).

75550460000 is an abundant number, since it is smaller than the sum of its proper divisors (120098381080).

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

75550460000 is a wasteful number, since it uses less digits than its factorization.

75550460000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198866 (or 198843 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 32.

Adding to 75550460000 its reverse (6405557), we get a palindrome (75556865557).

The spelling of 75550460000 in words is "seventy-five billion, five hundred fifty million, four hundred sixty thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 76 80 95 100 125 152 160 190 200 250 304 380 400 475 500 608 625 760 800 950 1000 1250 1520 1900 2000 2375 2500 3040 3800 4000 4750 5000 7600 9500 10000 11875 15200 19000 20000 23750 38000 47500 76000 95000 190000 198817 380000 397634 795268 994085 1590536 1988170 3181072 3777523 3976340 4970425 6362144 7555046 7952680 9940850 15110092 15905360 18887615 19881700 24852125 30220184 31810720 37775230 39763400 49704250 60440368 75550460 79526800 94438075 99408500 120880736 124260625 151100920 159053600 188876150 198817000 248521250 302201840 377752300 397634000 472190375 497042500 604403680 755504600 795268000 944380750 994085000 1511009200 1888761500 1988170000 2360951875 3022018400 3777523000 3976340000 4721903750 7555046000 9443807500 15110092000 18887615000 37775230000 75550460000