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5506331520 = 27354616221
BaseRepresentation
bin1010010000011001…
…11111001110000000
3112012202010121211110
411020030333032000
542234110102040
62310215443320
7253311021444
oct51014771600
915182117743
105506331520
1123761a9408
121098086540
13699a1c841
143a3424824
15223620980
hex14833f380

5506331520 has 128 divisors (see below), whose sum is σ = 17592331680. Its totient is φ = 1464934400.

The previous prime is 5506331513. The next prime is 5506331531. The reversal of 5506331520 is 251336055.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 882010 + ... + 888230.

Almost surely, 25506331520 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 5506331520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8796165840).

5506331520 is an abundant number, since it is smaller than the sum of its proper divisors (12086000160).

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

5506331520 is a wasteful number, since it uses less digits than its factorization.

5506331520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6704 (or 6692 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 30.

The square root of 5506331520 is about 74204.6596919627. The cubic root of 5506331520 is about 1765.8512555204.

Adding to 5506331520 its reverse (251336055), we get a palindrome (5757667575).

The spelling of 5506331520 in words is "five billion, five hundred six million, three hundred thirty-one thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 461 480 640 922 960 1383 1844 1920 2305 2766 3688 4610 5532 6221 6915 7376 9220 11064 12442 13830 14752 18440 18663 22128 24884 27660 29504 31105 36880 37326 44256 49768 55320 59008 62210 73760 74652 88512 93315 99536 110640 124420 147520 149304 177024 186630 199072 221280 248840 295040 298608 373260 398144 442560 497680 597216 746520 796288 885120 995360 1194432 1493040 1990720 2388864 2867881 2986080 3981440 5735762 5972160 8603643 11471524 11944320 14339405 17207286 22943048 28678810 34414572 43018215 45886096 57357620 68829144 86036430 91772192 114715240 137658288 172072860 183544384 229430480 275316576 344145720 367088768 458860960 550633152 688291440 917721920 1101266304 1376582880 1835443840 2753165760 5506331520