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5206348416 = 273103139947
BaseRepresentation
bin1001101100101001…
…01001001010000000
3111102211122220101010
410312110221022000
541130311122131
62220342040520
7243006142233
oct46624511200
914384586333
105206348416
112231936695
121013719140
1364c829649
1437565741a
15207116b46
hex136529280

5206348416 has 128 divisors (see below), whose sum is σ = 14078937600. Its totient is φ = 1704434688.

The previous prime is 5206348397. The next prime is 5206348429. The reversal of 5206348416 is 6148436025.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5497255 + ... + 5498201.

It is an arithmetic number, because the mean of its divisors is an integer number (109991700).

Almost surely, 25206348416 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 5206348416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7039468800).

5206348416 is an abundant number, since it is smaller than the sum of its proper divisors (8872589184).

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

5206348416 is a wasteful number, since it uses less digits than its factorization.

5206348416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 5206348416 is about 72155.0304275454. The cubic root of 5206348416 is about 1733.1829555274.

The spelling of 5206348416 in words is "five billion, two hundred six million, three hundred forty-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 103 128 139 192 206 278 309 384 412 417 556 618 824 834 947 1112 1236 1648 1668 1894 2224 2472 2841 3296 3336 3788 4448 4944 5682 6592 6672 7576 8896 9888 11364 13184 13344 14317 15152 17792 19776 22728 26688 28634 30304 39552 42951 45456 53376 57268 60608 85902 90912 97541 114536 121216 131633 171804 181824 195082 229072 263266 292623 343608 363648 390164 394899 458144 526532 585246 687216 780328 789798 916288 1053064 1170492 1374432 1560656 1579596 1832576 2106128 2340984 2748864 3121312 3159192 4212256 4681968 5497728 6242624 6318384 8424512 9363936 12485248 12636768 13558199 16849024 18727872 25273536 27116398 37455744 40674597 50547072 54232796 81349194 108465592 162698388 216931184 325396776 433862368 650793552 867724736 1301587104 1735449472 2603174208 5206348416