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5119401840 = 243579773119
BaseRepresentation
bin1001100010010001…
…11101111101110000
3111012210001120002120
410301020331331300
540441031324330
62203554314240
7240602124540
oct46110757560
914183046076
105119401840
112197850413
12baa588980
13637806477
14367ca3320
151ee68ec10
hex13123df70

5119401840 has 160 divisors (see below), whose sum is σ = 18161694720. Its totient is φ = 1168576512.

The previous prime is 5119401829. The next prime is 5119401853. The reversal of 5119401840 is 481049115.

It is a super-3 number, since 3×51194018403 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1639801 + ... + 1642919.

It is an arithmetic number, because the mean of its divisors is an integer number (113510592).

Almost surely, 25119401840 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 5119401840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9080847360).

5119401840 is an abundant number, since it is smaller than the sum of its proper divisors (13042292880).

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

5119401840 is a wasteful number, since it uses less digits than its factorization.

5119401840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4119 (or 4113 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The square root of 5119401840 is about 71549.9953878405. The cubic root of 5119401840 is about 1723.4806297941.

The spelling of 5119401840 in words is "five billion, one hundred nineteen million, four hundred one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 977 1680 1954 2931 3119 3908 4885 5862 6238 6839 7816 9357 9770 11724 12476 13678 14655 15595 15632 18714 19540 20517 21833 23448 24952 27356 29310 31190 34195 37428 39080 41034 43666 46785 46896 49904 54712 58620 62380 65499 68390 74856 78160 82068 87332 93570 102585 109165 109424 117240 124760 130998 136780 149712 164136 174664 187140 205170 218330 234480 249520 261996 273560 327495 328272 349328 374280 410340 436660 523992 547120 654990 748560 820680 873320 1047984 1309980 1641360 1746640 2619960 3047263 5239920 6094526 9141789 12189052 15236315 18283578 21330841 24378104 30472630 36567156 42661682 45708945 48756208 60945260 63992523 73134312 85323364 91417890 106654205 121890520 127985046 146268624 170646728 182835780 213308410 243781040 255970092 319962615 341293456 365671560 426616820 511940184 639925230 731343120 853233640 1023880368 1279850460 1706467280 2559700920 5119401840