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4329865680 = 243574162861
BaseRepresentation
bin1000000100001010…
…01000000111010000
3102011202101222002120
410002011020013100
532331421200210
61553352014240
7212204152050
oct40205100720
912152358076
104329865680
111922107198
12a0a091380
135400782ca
142d109d560
151a51d3270
hex1021481d0

4329865680 has 160 divisors (see below), whose sum is σ = 15714494208. Its totient is φ = 965529600.

The previous prime is 4329865651. The next prime is 4329865699. The reversal of 4329865680 is 865689234.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37450 + ... + 100310.

Almost surely, 24329865680 is an apocalyptic number.

4329865680 is a gapful number since it is divisible by the number (40) 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 4329865680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7857247104).

4329865680 is an abundant number, since it is smaller than the sum of its proper divisors (11384628528).

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

4329865680 is a wasteful number, since it uses less digits than its factorization.

4329865680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62925 (or 62919 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The square root of 4329865680 is about 65801.7148712706. The cubic root of 4329865680 is about 1629.8894225362.

The spelling of 4329865680 in words is "four billion, three hundred twenty-nine million, eight hundred sixty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 41 42 48 56 60 70 80 82 84 105 112 120 123 140 164 168 205 210 240 246 280 287 328 336 410 420 492 560 574 615 656 820 840 861 984 1148 1230 1435 1640 1680 1722 1968 2296 2460 2870 3280 3444 4305 4592 4920 5740 6888 8610 9840 11480 13776 17220 22960 34440 62861 68880 125722 188583 251444 314305 377166 440027 502888 628610 754332 880054 942915 1005776 1257220 1320081 1508664 1760108 1885830 2200135 2514440 2577301 2640162 3017328 3520216 3771660 4400270 5028880 5154602 5280324 6600405 7040432 7543320 7731903 8800540 10309204 10560648 12886505 13200810 15086640 15463806 17601080 18041107 20618408 21121296 25773010 26401620 30927612 35202160 36082214 38659515 41236816 51546020 52803240 54123321 61855224 72164428 77319030 90205535 103092040 105606480 108246642 123710448 144328856 154638060 180411070 206184080 216493284 270616605 288657712 309276120 360822140 432986568 541233210 618552240 721644280 865973136 1082466420 1443288560 2164932840 4329865680