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5680438524 = 2233235694019
BaseRepresentation
bin1010100101001010…
…01001110011111100
3112122212202011202000
411102211021303330
543113143013044
62335355302300
7260523634155
oct52245116374
915585664660
105680438524
1124555065a2
12112644a990
136c6b0c337
143bc5c692c
15233a62d69
hex152949cfc

5680438524 has 96 divisors (see below), whose sum is σ = 15398208000. Its totient is φ = 1807521408.

The previous prime is 5680438507. The next prime is 5680438537. The reversal of 5680438524 is 4258340865.

5680438524 is a `hidden beast` number, since 5 + 6 + 80 + 43 + 8 + 524 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5680438524.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1411387 + ... + 1415405.

It is an arithmetic number, because the mean of its divisors is an integer number (160398000).

Almost surely, 25680438524 is an apocalyptic number.

5680438524 is a gapful number since it is divisible by the number (54) 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 5680438524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7699104000).

5680438524 is an abundant number, since it is smaller than the sum of its proper divisors (9717769476).

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

5680438524 is a wasteful number, since it uses less digits than its factorization.

5680438524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4624 (or 4616 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The square root of 5680438524 is about 75368.6839741812. The cubic root of 5680438524 is about 1784.2701966796.

The spelling of 5680438524 in words is "five billion, six hundred eighty million, four hundred thirty-eight thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 207 276 414 569 621 828 1138 1242 1707 2276 2484 3414 4019 5121 6828 8038 10242 12057 13087 15363 16076 20484 24114 26174 30726 36171 39261 48228 52348 61452 72342 78522 92437 108513 117783 144684 157044 184874 217026 235566 277311 353349 369748 434052 471132 554622 706698 831933 1109244 1413396 1663866 2286811 2495799 3327732 4573622 4991598 6860433 9147244 9983196 13720866 20581299 27441732 41162598 52596653 61743897 82325196 105193306 123487794 157789959 210386612 246975588 315579918 473369877 631159836 946739754 1420109631 1893479508 2840219262 5680438524