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5510099088 = 2433138311821
BaseRepresentation
bin1010010000110110…
…10111000010010000
3112020000020000222000
411020123113002100
542241041132323
62310432314000
7253355032554
oct51033270220
915200200860
105510099088
112378341aaa
1210993a2900
1369a73b680
143a3b25864
15223b16e43
hex1486d7090

5510099088 has 160 divisors (see below), whose sum is σ = 17239313280. Its totient is φ = 1674846720.

The previous prime is 5510099087. The next prime is 5510099117. The reversal of 5510099088 is 8809900155.

5510099088 is a `hidden beast` number, since 551 + 0 + 0 + 9 + 90 + 8 + 8 = 666.

It is a super-2 number, since 2×55100990882 = 60722383919156863488, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (5510099081) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 460218 + ... + 472038.

It is an arithmetic number, because the mean of its divisors is an integer number (107745708).

Almost surely, 25510099088 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 5510099088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8619656640).

5510099088 is an abundant number, since it is smaller than the sum of its proper divisors (11729214192).

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

5510099088 is a wasteful number, since it uses less digits than its factorization.

5510099088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11934 (or 11922 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 45.

The square root of 5510099088 is about 74230.0416812492. The cubic root of 5510099088 is about 1766.2539100440.

The spelling of 5510099088 in words is "five billion, five hundred ten million, ninety-nine thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 83 104 108 117 144 156 166 208 216 234 249 312 332 351 432 468 498 624 664 702 747 936 996 1079 1328 1404 1494 1872 1992 2158 2241 2808 2988 3237 3984 4316 4482 5616 5976 6474 8632 8964 9711 11821 11952 12948 17264 17928 19422 23642 25896 29133 35463 35856 38844 47284 51792 58266 70926 77688 94568 106389 116532 141852 153673 155376 189136 212778 233064 283704 307346 319167 425556 461019 466128 567408 614692 638334 851112 922038 981143 1229384 1276668 1383057 1702224 1844076 1962286 2458768 2553336 2766114 2943429 3688152 3924572 4149171 5106672 5532228 5886858 7376304 7849144 8298342 8830287 11064456 11773716 12754859 15698288 16596684 17660574 22128912 23547432 25509718 26490861 33193368 35321148 38264577 47094864 51019436 52981722 66386736 70642296 76529154 102038872 105963444 114793731 141284592 153058308 204077744 211926888 229587462 306116616 344381193 423853776 459174924 612233232 688762386 918349848 1377524772 1836699696 2755049544 5510099088