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5519689056 = 25337912647
BaseRepresentation
bin1010010001111111…
…11100010101100000
3112020200021020221000
411020333330111200
542301020022211
62311414032000
7253532403630
oct51077742540
915220236830
105519689056
1123827a20a2
1210a0648600
1369c7186cb
143a51006c0
152248ad656
hex148ffc560

5519689056 has 96 divisors (see below), whose sum is σ = 18398983680. Its totient is φ = 1577052288.

The previous prime is 5519689051. The next prime is 5519689099. The reversal of 5519689056 is 6509869155.

5519689056 is a `hidden beast` number, since 551 + 9 + 6 + 89 + 0 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×55196890562 = 60933934549852342272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 5519688993 and 5519689011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5519689051) by changing a digit.

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, 450276 + ... + 462371.

It is an arithmetic number, because the mean of its divisors is an integer number (191656080).

Almost surely, 25519689056 is an apocalyptic number.

5519689056 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

5519689056 is an abundant number, since it is smaller than the sum of its proper divisors (12879294624).

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

5519689056 is a wasteful number, since it uses less digits than its factorization.

5519689056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912673 (or 912659 counting only the distinct ones).

The product of its (nonzero) digits is 2916000, while the sum is 54.

The square root of 5519689056 is about 74294.6098717801. The cubic root of 5519689056 is about 1767.2779993885.

The spelling of 5519689056 in words is "five billion, five hundred nineteen million, six hundred eighty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 6048 912647 1825294 2737941 3650588 5475882 6388529 7301176 8213823 10951764 12777058 14602352 16427646 19165587 21903528 24641469 25554116 29204704 32855292 38331174 43807056 49282938 51108232 57496761 65710584 76662348 87614112 98565876 102216464 114993522 131421168 153324696 172490283 197131752 204432928 229987044 262842336 306649392 344980566 394263504 459974088 613298784 689961132 788527008 919948176 1379922264 1839896352 2759844528 5519689056