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5045014000 = 245313296691
BaseRepresentation
bin1001011001011010…
…01100110111110000
3111000121002021011101
410230231030313300
540313010422000
62152340054144
7236006624425
oct45455146760
914017067141
105045014000
112159862764
12b89694354
1362528c6b0
1435c05bd4c
151e7d98e6a
hex12cb4cdf0

5045014000 has 160 divisors (see below), whose sum is σ = 13592255040. Its totient is φ = 1798272000.

The previous prime is 5045013989. The next prime is 5045014049. The reversal of 5045014000 is 4105405.

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, 750655 + ... + 757345.

It is an arithmetic number, because the mean of its divisors is an integer number (84951594).

Almost surely, 25045014000 is an apocalyptic number.

5045014000 is a gapful number since it is divisible by the number (50) 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 5045014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6796127520).

5045014000 is an abundant number, since it is smaller than the sum of its proper divisors (8547241040).

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

5045014000 is a wasteful number, since it uses less digits than its factorization.

5045014000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6756 (or 6740 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 5045014000 is about 71028.2619807074. The cubic root of 5045014000 is about 1715.0921476949.

Adding to 5045014000 its reverse (4105405), we get a palindrome (5049119405).

The spelling of 5045014000 in words is "five billion, forty-five million, fourteen thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 29 40 50 52 58 65 80 100 104 116 125 130 145 200 208 232 250 260 290 325 377 400 464 500 520 580 650 725 754 1000 1040 1160 1300 1450 1508 1625 1885 2000 2320 2600 2900 3016 3250 3625 3770 5200 5800 6032 6500 6691 7250 7540 9425 11600 13000 13382 14500 15080 18850 26000 26764 29000 30160 33455 37700 47125 53528 58000 66910 75400 86983 94250 107056 133820 150800 167275 173966 188500 194039 267640 334550 347932 377000 388078 434915 535280 669100 695864 754000 776156 836375 869830 970195 1338200 1391728 1552312 1672750 1739660 1940390 2174575 2522507 2676400 3104624 3345500 3479320 3880780 4349150 4850975 5045014 6691000 6958640 7761560 8698300 9701950 10090028 10872875 12612535 13382000 15523120 17396600 19403900 20180056 21745750 24254875 25225070 34793200 38807800 40360112 43491500 48509750 50450140 63062675 77615600 86983000 97019500 100900280 126125350 173966000 194039000 201800560 252250700 315313375 388078000 504501400 630626750 1009002800 1261253500 2522507000 5045014000