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4199881740 = 2235417921611
BaseRepresentation
bin1111101001010101…
…0001110000001100
3101211200211002122120
43322111101300030
532100132203430
61532430012540
7206035256115
oct37225216014
911750732576
104199881740
1118657a634a
12992647150
1351c166c32
142bbb0520c
15198aa9610
hexfa551c0c

4199881740 has 96 divisors (see below), whose sum is σ = 12199541760. Its totient is φ = 1078771200.

The previous prime is 4199881691. The next prime is 4199881769. The reversal of 4199881740 is 471889914.

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, 183535 + ... + 205145.

It is an arithmetic number, because the mean of its divisors is an integer number (127078560).

Almost surely, 24199881740 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 4199881740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6099770880).

4199881740 is an abundant number, since it is smaller than the sum of its proper divisors (7999660020).

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

4199881740 is a wasteful number, since it uses less digits than its factorization.

4199881740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21743 (or 21741 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 51.

The square root of 4199881740 is about 64806.4945819476. The cubic root of 4199881740 is about 1613.4135027021.

The spelling of 4199881740 in words is "four billion, one hundred ninety-nine million, eight hundred eighty-one thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 79 82 123 158 164 205 237 246 316 395 410 474 492 615 790 820 948 1185 1230 1580 2370 2460 3239 4740 6478 9717 12956 16195 19434 21611 32390 38868 43222 48585 64780 64833 86444 97170 108055 129666 194340 216110 259332 324165 432220 648330 886051 1296660 1707269 1772102 2658153 3414538 3544204 4430255 5121807 5316306 6829076 8536345 8860510 10243614 10632612 13290765 17072690 17721020 20487228 25609035 26581530 34145380 51218070 53163060 69998029 102436140 139996058 209994087 279992116 349990145 419988174 699980290 839976348 1049970435 1399960580 2099940870 4199881740