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5616443616 = 253717348311
BaseRepresentation
bin1010011101100010…
…00010000011100000
3112111102022220020020
411032301002003200
543000302143431
62325151513440
7256115661120
oct51661020340
915442286206
105616443616
112422377243
121108b28880
136b6793c24
143b3cc8c80
1522d121696
hex14ec420e0

5616443616 has 96 divisors (see below), whose sum is σ = 16947076608. Its totient is φ = 1595389440.

The previous prime is 5616443603. The next prime is 5616443621. The reversal of 5616443616 is 6163446165.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 92101 + ... + 140411.

It is an arithmetic number, because the mean of its divisors is an integer number (176532048).

Almost surely, 25616443616 is an apocalyptic number.

5616443616 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5616443616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8473538304).

5616443616 is an abundant number, since it is smaller than the sum of its proper divisors (11330632992).

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

5616443616 is a wasteful number, since it uses less digits than its factorization.

5616443616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48504 (or 48496 counting only the distinct ones).

The product of its digits is 311040, while the sum is 42.

The square root of 5616443616 is about 74942.9357311281. The cubic root of 5616443616 is about 1777.5444421859.

The spelling of 5616443616 in words is "five billion, six hundred sixteen million, four hundred forty-three thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 173 224 336 346 519 672 692 1038 1211 1384 2076 2422 2768 3633 4152 4844 5536 7266 8304 9688 14532 16608 19376 29064 38752 48311 58128 96622 116256 144933 193244 289866 338177 386488 579732 676354 772976 1014531 1159464 1352708 1545952 2029062 2318928 2705416 4058124 4637856 5410832 8116248 8357803 10821664 16232496 16715606 25073409 32464992 33431212 50146818 58504621 66862424 100293636 117009242 133724848 175513863 200587272 234018484 267449696 351027726 401174544 468036968 702055452 802349088 936073936 1404110904 1872147872 2808221808 5616443616