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5017491560 = 2353761149373
BaseRepresentation
bin1001010110001000…
…01101100001101000
3110221200021222110202
410223010031201220
540233434212220
62145514131332
7235223655164
oct45304154150
913850258422
105017491560
112145274744
12b80420b48
1361c674323
14358535ca4
151e575e275
hex12b10d868

5017491560 has 128 divisors (see below), whose sum is σ = 11895444000. Its totient is φ = 1902735360.

The previous prime is 5017491497. The next prime is 5017491581. The reversal of 5017491560 is 651947105.

It can be written as a sum of positive squares in 16 ways, for example, as 13060996 + 5004430564 = 3614^2 + 70742^2 .

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 31 ways as a sum of consecutive naturals, for example, 13451534 + ... + 13451906.

Almost surely, 25017491560 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 5017491560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5947722000).

5017491560 is an abundant number, since it is smaller than the sum of its proper divisors (6877952440).

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

5017491560 is a wasteful number, since it uses less digits than its factorization.

5017491560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 38.

The square root of 5017491560 is about 70834.2541430345. The cubic root of 5017491560 is about 1711.9676357538.

The spelling of 5017491560 in words is "five billion, seventeen million, four hundred ninety-one thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 20 37 40 61 74 122 148 149 185 244 296 298 305 370 373 488 596 610 740 745 746 1192 1220 1480 1490 1492 1865 2257 2440 2980 2984 3730 4514 5513 5960 7460 9028 9089 11026 11285 13801 14920 18056 18178 22052 22570 22753 27565 27602 36356 44104 45140 45445 45506 55130 55204 55577 69005 72712 90280 90890 91012 110260 110408 111154 113765 138010 181780 182024 220520 222308 227530 276020 277885 336293 363560 444616 455060 552040 555770 672586 841861 910120 1111540 1345172 1681465 1683722 2056349 2223080 2690344 3362930 3367444 3390197 4112698 4209305 6725860 6734888 6780394 8225396 8418610 10281745 13451720 13560788 16450792 16837220 16950985 20563490 27121576 33674440 33901970 41126980 67803940 82253960 125437289 135607880 250874578 501749156 627186445 1003498312 1254372890 2508745780 5017491560