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2729016780 = 2235726115217
BaseRepresentation
bin1010001010101001…
…0111110111001100
321001012010102020120
42202222113313030
521042112014110
61130444144540
7124425155100
oct24252276714
97035112216
102729016780
111180505776
12641b38150
13346506039
141bc627900
1510e8b7870
hexa2a97dcc

2729016780 has 144 divisors (see below), whose sum is σ = 9035109216. Its totient is φ = 613509120.

The previous prime is 2729016779. The next prime is 2729016793. The reversal of 2729016780 is 876109272.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 47 ways as a sum of consecutive naturals, for example, 171732 + ... + 186948.

It is an arithmetic number, because the mean of its divisors is an integer number (62743814).

Almost surely, 22729016780 is an apocalyptic number.

2729016780 is a gapful number since it is divisible by the number (20) 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 2729016780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4517554608).

2729016780 is an abundant number, since it is smaller than the sum of its proper divisors (6306092436).

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

2729016780 is a wasteful number, since it uses less digits than its factorization.

2729016780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15304 (or 15295 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The square root of 2729016780 is about 52239.9921516074. The cubic root of 2729016780 is about 1397.4471812458.

The spelling of 2729016780 in words is "two billion, seven hundred twenty-nine million, sixteen thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 61 70 84 98 105 122 140 147 183 196 210 244 245 294 305 366 420 427 490 588 610 732 735 854 915 980 1220 1281 1470 1708 1830 2135 2562 2940 2989 3660 4270 5124 5978 6405 8540 8967 11956 12810 14945 15217 17934 25620 29890 30434 35868 44835 45651 59780 60868 76085 89670 91302 106519 152170 179340 182604 213038 228255 304340 319557 426076 456510 532595 639114 745633 913020 928237 1065190 1278228 1491266 1597785 1856474 2130380 2236899 2784711 2982532 3195570 3712948 3728165 4473798 4641185 5569422 6391140 6497659 7456330 8947596 9282370 11138844 11184495 12995318 13923555 14912660 18564740 19492977 22368990 25990636 27847110 32488295 38985954 44737980 45483613 55694220 64976590 77971908 90967226 97464885 129953180 136450839 181934452 194929770 227418065 272901678 389859540 454836130 545803356 682254195 909672260 1364508390 2729016780