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5505345560 = 23511137011373
BaseRepresentation
bin1010010000010010…
…01110100000011000
3112012200021112100102
411020021032200120
542233332024220
62310142354532
7253266444101
oct51011164030
915180245312
105505345560
112375695670
12109788ba48
13699765b30
143a32493a8
152234c8775
hex14824e818

5505345560 has 128 divisors (see below), whose sum is σ = 14583965760. Its totient is φ = 1843968000.

The previous prime is 5505345539. The next prime is 5505345577. The reversal of 5505345560 is 655435055.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4009034 + ... + 4010406.

Almost surely, 25505345560 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 5505345560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7291982880).

5505345560 is an abundant number, since it is smaller than the sum of its proper divisors (9078620200).

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

5505345560 is a wasteful number, since it uses less digits than its factorization.

5505345560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2109 (or 2105 counting only the distinct ones).

The product of its (nonzero) digits is 225000, while the sum is 38.

The square root of 5505345560 is about 74198.0158764370. The cubic root of 5505345560 is about 1765.7458518516.

The spelling of 5505345560 in words is "five billion, five hundred five million, three hundred forty-five thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 143 220 260 286 440 520 572 701 715 1144 1373 1402 1430 2746 2804 2860 3505 5492 5608 5720 6865 7010 7711 9113 10984 13730 14020 15103 15422 17849 18226 27460 28040 30206 30844 35698 36452 38555 45565 54920 60412 61688 71396 72904 75515 77110 89245 91130 100243 120824 142792 151030 154220 178490 182260 196339 200486 302060 308440 356980 364520 392678 400972 501215 604120 713960 785356 801944 962473 981695 1002430 1570712 1924946 1963390 2004860 3849892 3926780 4009720 4812365 7699784 7853560 9624730 10587203 12512149 19249460 21174406 25024298 38498920 42348812 50048596 52936015 62560745 84697624 100097192 105872030 125121490 137633639 211744060 250242980 275267278 423488120 500485960 550534556 688168195 1101069112 1376336390 2752672780 5505345560