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4683737682 = 234134794643
BaseRepresentation
bin1000101110010110…
…00010101001010010
3110002102021112020000
410113023002221102
534043014101212
62052432430430
7224032053621
oct42713025122
913072245200
104683737682
111a93936498
12aa86a8416
13598488a20
143260976b8
151c62d41dc
hex1172c2a52

4683737682 has 80 divisors (see below), whose sum is σ = 11328387840. Its totient is φ = 1437831648.

The previous prime is 4683737647. The next prime is 4683737683. The reversal of 4683737682 is 2867373864.

4683737682 is a `hidden beast` number, since 468 + 37 + 3 + 76 + 82 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4683737683) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1006453 + ... + 1011095.

It is an arithmetic number, because the mean of its divisors is an integer number (141604848).

Almost surely, 24683737682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4683737682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5664193920).

4683737682 is an abundant number, since it is smaller than the sum of its proper divisors (6644650158).

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

4683737682 is a wasteful number, since it uses less digits than its factorization.

4683737682 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5149 (or 5140 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 54.

The square root of 4683737682 is about 68437.8380868361. The cubic root of 4683737682 is about 1673.1345007563.

The spelling of 4683737682 in words is "four billion, six hundred eighty-three million, seven hundred thirty-seven thousand, six hundred eighty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 351 479 702 958 1053 1437 2106 2874 4311 4643 6227 8622 9286 12454 12933 13929 18681 25866 27858 37362 38799 41787 56043 60359 77598 83574 112086 120718 125361 168129 181077 250722 336258 362154 376083 504387 543231 752166 1008774 1086462 1629693 2223997 3259386 4447994 4889079 6671991 9778158 13343982 20015973 28911961 40031946 57823922 60047919 86735883 120095838 173471766 180143757 260207649 360287514 520415298 780622947 1561245894 2341868841 4683737682