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5014747440 = 2432517334019
BaseRepresentation
bin1001010101110011…
…01111100100110000
3110221111010120020200
410222321233210300
540232233404230
62145335235200
7235161435633
oct45271574460
913844116220
105014747440
11214376aa7a
12b7b518b00
1361bc232a1
1435801dc1a
151e53bb160
hex12ae6f930

5014747440 has 120 divisors (see below), whose sum is σ = 16855104240. Its totient is φ = 1336161792.

The previous prime is 5014747417. The next prime is 5014747553. The reversal of 5014747440 is 447474105.

It is a happy number.

5014747440 is a `hidden beast` number, since 5 + 0 + 147 + 474 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5014747395 and 5014747404.

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 23 ways as a sum of consecutive naturals, for example, 1245751 + ... + 1249769.

It is an arithmetic number, because the mean of its divisors is an integer number (140459202).

Almost surely, 25014747440 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 5014747440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8427552120).

5014747440 is an abundant number, since it is smaller than the sum of its proper divisors (11840356800).

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

5014747440 is a wasteful number, since it uses less digits than its factorization.

5014747440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5771 (or 5762 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 36.

The square root of 5014747440 is about 70814.8814868739. The cubic root of 5014747440 is about 1711.6554810136.

The spelling of 5014747440 in words is "five billion, fourteen million, seven hundred forty-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1733 3466 4019 5199 6932 8038 8665 10398 12057 13864 15597 16076 17330 20095 20796 24114 25995 27728 31194 32152 34660 36171 40190 41592 48228 51990 60285 62388 64304 69320 72342 77985 80380 83184 96456 103980 120570 124776 138640 144684 155970 160760 180855 192912 207960 241140 249552 289368 311940 321520 361710 415920 482280 578736 623880 723420 964560 1247760 1446840 2893680 6964927 13929854 20894781 27859708 34824635 41789562 55719416 62684343 69649270 83579124 104473905 111438832 125368686 139298540 167158248 208947810 250737372 278597080 313421715 334316496 417895620 501474744 557194160 626843430 835791240 1002949488 1253686860 1671582480 2507373720 5014747440