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6052437216 = 2532714920149
BaseRepresentation
bin1011010001100000…
…01101110011100000
3120121210201200000100
411220300031303200
544343410442331
62440324422400
7302661603360
oct55060156340
916553650010
106052437216
112626496731
12120ab47a00
13755bc85c7
14415b7c9a0
15256544ae6
hex168c0dce0

6052437216 has 144 divisors (see below), whose sum is σ = 19803420000. Its totient is φ = 1717576704.

The previous prime is 6052437203. The next prime is 6052437269. The reversal of 6052437216 is 6127342506.

6052437216 is a `hidden beast` number, since 6 + 0 + 5 + 2 + 437 + 216 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 290310 + ... + 310458.

It is an arithmetic number, because the mean of its divisors is an integer number (137523750).

Almost surely, 26052437216 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 6052437216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9901710000).

6052437216 is an abundant number, since it is smaller than the sum of its proper divisors (13750982784).

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

6052437216 is a wasteful number, since it uses less digits than its factorization.

6052437216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20321 (or 20310 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 6052437216 is about 77797.4113708162. The cubic root of 6052437216 is about 1822.3988430253.

The spelling of 6052437216 in words is "six billion, fifty-two million, four hundred thirty-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 149 168 224 252 288 298 336 447 504 596 672 894 1008 1043 1192 1341 1788 2016 2086 2384 2682 3129 3576 4172 4768 5364 6258 7152 8344 9387 10728 12516 14304 16688 18774 20149 21456 25032 33376 37548 40298 42912 50064 60447 75096 80596 100128 120894 141043 150192 161192 181341 241788 282086 300384 322384 362682 423129 483576 564172 644768 725364 846258 967152 1128344 1269387 1450728 1692516 1934304 2256688 2538774 2901456 3002201 3385032 4513376 5077548 5802912 6004402 6770064 9006603 10155096 12008804 13540128 18013206 20310192 21015407 24017608 27019809 36026412 40620384 42030814 48035216 54039618 63046221 72052824 84061628 96070432 108079236 126092442 144105648 168123256 189138663 216158472 252184884 288211296 336246512 378277326 432316944 504369768 672493024 756554652 864633888 1008739536 1513109304 2017479072 3026218608 6052437216