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5519665984 = 267192772341
BaseRepresentation
bin1010010001111111…
…10110101101000000
3112020200020002021111
411020333312231000
542301013302414
62311413333104
7253532246440
oct51077665500
915220202244
105519665984
112382786828
1210a0637194
1369c70b061
143a50d6120
152248a68c4
hex148ff6b40

5519665984 has 112 divisors (see below), whose sum is σ = 13229864320. Its totient is φ = 2232023040.

The previous prime is 5519665979. The next prime is 5519665997. The reversal of 5519665984 is 4895669155.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2356654 + ... + 2358994.

Almost surely, 25519665984 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 5519665984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6614932160).

5519665984 is an abundant number, since it is smaller than the sum of its proper divisors (7710198336).

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

5519665984 is a wasteful number, since it uses less digits than its factorization.

5519665984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2656 (or 2646 counting only the distinct ones).

The product of its digits is 11664000, while the sum is 58.

The square root of 5519665984 is about 74294.4545979039. The cubic root of 5519665984 is about 1767.2755370097.

The spelling of 5519665984 in words is "five billion, five hundred nineteen million, six hundred sixty-five thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 133 152 224 266 277 304 448 532 554 608 1064 1108 1216 1939 2128 2216 2341 3878 4256 4432 4682 5263 7756 8512 8864 9364 10526 15512 16387 17728 18728 21052 31024 32774 36841 37456 42104 44479 62048 65548 73682 74912 84208 88958 124096 131096 147364 149824 168416 177916 262192 294728 311353 336832 355832 524384 589456 622706 648457 711664 1048768 1178912 1245412 1296914 1423328 2357824 2490824 2593828 2846656 4539199 4981648 5187656 9078398 9963296 10375312 12320683 18156796 19926592 20750624 24641366 36313592 41501248 49282732 72627184 86244781 98565464 145254368 172489562 197130928 290508736 344979124 394261856 689958248 788523712 1379916496 2759832992 5519665984