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6600064416 = 2531123472663
BaseRepresentation
bin1100010010110010…
…01111110110100000
3122000222012000022020
412021121033312200
5102004104030131
63010530141440
7322361423211
oct61131176640
918028160266
106600064416
1128876230a0
121342421880
138124b7a7a
144687b1408
15289669996
hex18964fda0

6600064416 has 96 divisors (see below), whose sum is σ = 18915337728. Its totient is φ = 1998416640.

The previous prime is 6600064399. The next prime is 6600064423. The reversal of 6600064416 is 6144600066.

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 (33).

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, 2477101 + ... + 2479763.

It is an arithmetic number, because the mean of its divisors is an integer number (197034768).

Almost surely, 26600064416 is an apocalyptic number.

6600064416 is a gapful number since it is divisible by the number (66) 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 6600064416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9457668864).

6600064416 is an abundant number, since it is smaller than the sum of its proper divisors (12315273312).

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

6600064416 is a wasteful number, since it uses less digits than its factorization.

6600064416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5034 (or 5026 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 6600064416 is about 81240.7804984664. The cubic root of 6600064416 is about 1875.7835578764.

The spelling of 6600064416 in words is "six billion, six hundred million, sixty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 2347 2663 4694 5326 7041 7989 9388 10652 14082 15978 18776 21304 25817 28164 29293 31956 37552 42608 51634 56328 58586 63912 75104 77451 85216 87879 103268 112656 117172 127824 154902 175758 206536 225312 234344 255648 309804 351516 413072 468688 619608 703032 826144 937376 1239216 1406064 2478432 2812128 6250061 12500122 18750183 25000244 37500366 50000488 68750671 75000732 100000976 137501342 150001464 200001952 206252013 275002684 300002928 412504026 550005368 600005856 825008052 1100010736 1650016104 2200021472 3300032208 6600064416