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5605616544 = 2531110095261
BaseRepresentation
bin1010011100001111…
…01110101110100000
3112110122221211021120
411032013232232200
542440014212134
62324123452240
7255624645243
oct51607565640
915418854246
105605616544
112417251750
121105387080
136b4472a88
143b26ab25a
1522c1d3649
hex14e1eeba0

5605616544 has 96 divisors (see below), whose sum is σ = 16071410880. Its totient is φ = 1696665600.

The previous prime is 5605616537. The next prime is 5605616579. The reversal of 5605616544 is 4456165065.

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

It is a junction number, because it is equal to n+sod(n) for n = 5605616496 and 5605616505.

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, 1062874 + ... + 1068134.

It is an arithmetic number, because the mean of its divisors is an integer number (167410530).

Almost surely, 25605616544 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 5605616544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8035705440).

5605616544 is an abundant number, since it is smaller than the sum of its proper divisors (10465794336).

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

5605616544 is a wasteful number, since it uses less digits than its factorization.

5605616544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6294 (or 6286 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 42.

The square root of 5605616544 is about 74870.6654438172. The cubic root of 5605616544 is about 1776.4014898654.

The spelling of 5605616544 in words is "five billion, six hundred five million, six hundred sixteen thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1009 1056 2018 3027 4036 5261 6054 8072 10522 11099 12108 15783 16144 21044 22198 24216 31566 32288 33297 42088 44396 48432 57871 63132 66594 84176 88792 96864 115742 126264 133188 168352 173613 177584 231484 252528 266376 347226 355168 462968 505056 532752 694452 925936 1065504 1388904 1851872 2777808 5308349 5555616 10616698 15925047 21233396 31850094 42466792 58391839 63700188 84933584 116783678 127400376 169867168 175175517 233567356 254800752 350351034 467134712 509601504 700702068 934269424 1401404136 1868538848 2802808272 5605616544