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5996947680 = 2532510738921
BaseRepresentation
bin1011001010111001…
…00010100011100000
3120110221022111200100
411211130202203200
544240204311210
62431023222400
7301416133323
oct54534424340
916427274610
105996947680
1125a8136609
1211b4447a00
1374756a669
1440c6567ba
152517335c0
hex1657228e0

5996947680 has 144 divisors (see below), whose sum is σ = 20656372464. Its totient is φ = 1584199680.

The previous prime is 5996947669. The next prime is 5996947769. The reversal of 5996947680 is 867496995.

It is a happy number.

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

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, 134620 + ... + 173540.

It is an arithmetic number, because the mean of its divisors is an integer number (143447031).

Almost surely, 25996947680 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 5996947680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10328186232).

5996947680 is an abundant number, since it is smaller than the sum of its proper divisors (14659424784).

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

5996947680 is a wasteful number, since it uses less digits than its factorization.

5996947680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39049 (or 39038 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The square root of 5996947680 is about 77439.9617768501. The cubic root of 5996947680 is about 1816.8124053699.

The spelling of 5996947680 in words is "five billion, nine hundred ninety-six million, nine hundred forty-seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 107 120 144 160 180 214 240 288 321 360 428 480 535 642 720 856 963 1070 1284 1440 1605 1712 1926 2140 2568 3210 3424 3852 4280 4815 5136 6420 7704 8560 9630 10272 12840 15408 17120 19260 25680 30816 38520 38921 51360 77040 77842 116763 154080 155684 194605 233526 311368 350289 389210 467052 583815 622736 700578 778420 934104 1167630 1245472 1401156 1556840 1751445 1868208 2335260 2802312 3113680 3502890 3736416 4164547 4670520 5604624 6227360 7005780 8329094 9341040 11209248 12493641 14011560 16658188 18682080 20822735 24987282 28023120 33316376 37480923 41645470 49974564 56046240 62468205 66632752 74961846 83290940 99949128 124936410 133265504 149923692 166581880 187404615 199898256 249872820 299847384 333163760 374809230 399796512 499745640 599694768 666327520 749618460 999491280 1199389536 1499236920 1998982560 2998473840 5996947680