Search a number
-
+
505605055080 = 233519956337607
BaseRepresentation
bin1110101101110000110…
…10001110001001101000
31210100001111010000100010
413112320122032021220
531240434343230310
61024134411011520
751346236025656
oct7267032161150
91710044100303
10505605055080
11185475966324
1281ba6139ba0
13388a8455108
141a6857c5dd6
15d242c55320
hex75b868e268

505605055080 has 128 divisors (see below), whose sum is σ = 1527185664000. Its totient is φ = 133908648192.

The previous prime is 505605055079. The next prime is 505605055091. The reversal of 505605055080 is 80550506505.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13425637 + ... + 13463243.

It is an arithmetic number, because the mean of its divisors is an integer number (11931138000).

Almost surely, 2505605055080 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 505605055080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763592832000).

505605055080 is an abundant number, since it is smaller than the sum of its proper divisors (1021580608920).

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

505605055080 is a wasteful number, since it uses less digits than its factorization.

505605055080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38383 (or 38379 counting only the distinct ones).

The product of its (nonzero) digits is 150000, while the sum is 39.

The spelling of 505605055080 in words is "five hundred five billion, six hundred five million, fifty-five thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 199 398 563 597 796 995 1126 1194 1592 1689 1990 2252 2388 2815 2985 3378 3980 4504 4776 5630 5970 6756 7960 8445 11260 11940 13512 16890 22520 23880 33780 37607 67560 75214 112037 112821 150428 188035 224074 225642 300856 336111 376070 448148 451284 560185 564105 672222 752140 896296 902568 1120370 1128210 1344444 1504280 1680555 2240740 2256420 2688888 3361110 4481480 4512840 6722220 7483793 13444440 14967586 21172741 22451379 29935172 37418965 42345482 44902758 59870344 63518223 74837930 84690964 89805516 105863705 112256895 127036446 149675860 169381928 179611032 211727410 224513790 254072892 299351720 317591115 423454820 449027580 508145784 635182230 846909640 898055160 1270364460 2540728920 4213375459 8426750918 12640126377 16853501836 21066877295 25280252754 33707003672 42133754590 50560505508 63200631885 84267509180 101121011016 126401263770 168535018360 252802527540 505605055080