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4081871360 = 29571713399
BaseRepresentation
bin1111001101001100…
…0110101000000000
3101112110202112211202
43303103012220000
531324424340420
61513012400332
7203103222410
oct36323065000
911473675752
104081871360
111805123406
1295b0160a8
135008887c8
142aa186640
1518d548575
hexf34c6a00

4081871360 has 160 divisors (see below), whose sum is σ = 11843884800. Its totient is φ = 1317076992.

The previous prime is 4081871333. The next prime is 4081871383. The reversal of 4081871360 is 631781804.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 297941 + ... + 311339.

It is an arithmetic number, because the mean of its divisors is an integer number (74024280).

Almost surely, 24081871360 is an apocalyptic number.

4081871360 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 4081871360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5921942400).

4081871360 is an abundant number, since it is smaller than the sum of its proper divisors (7762013440).

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

4081871360 is a wasteful number, since it uses less digits than its factorization.

4081871360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13446 (or 13430 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 38.

The square root of 4081871360 is about 63889.5246499769. The cubic root of 4081871360 is about 1598.1582140371.

The spelling of 4081871360 in words is "four billion, eighty-one million, eight hundred seventy-one thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 32 34 35 40 56 64 68 70 80 85 112 119 128 136 140 160 170 224 238 256 272 280 320 340 448 476 512 544 560 595 640 680 896 952 1088 1120 1190 1280 1360 1792 1904 2176 2240 2380 2560 2720 3584 3808 4352 4480 4760 5440 7616 8704 8960 9520 10880 13399 15232 17920 19040 21760 26798 30464 38080 43520 53596 60928 66995 76160 93793 107192 133990 152320 187586 214384 227783 267980 304640 375172 428768 455566 468965 535960 750344 857536 911132 937930 1071920 1138915 1500688 1594481 1715072 1822264 1875860 2143840 2277830 3001376 3188962 3430144 3644528 3751720 4287680 4555660 6002752 6377924 6860288 7289056 7503440 7972405 8575360 9111320 12005504 12755848 14578112 15006880 15944810 17150720 18222640 24011008 25511696 29156224 30013760 31889620 34301440 36445280 48022016 51023392 58312448 60027520 63779240 72890560 102046784 116624896 120055040 127558480 145781120 204093568 240110080 255116960 291562240 408187136 510233920 583124480 816374272 1020467840 2040935680 4081871360