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5164520816 = 247313191379
BaseRepresentation
bin1001100111101010…
…00101010101110000
3111022220221211200202
410303311011111300
541034104131231
62212245334332
7241660463000
oct46365052560
914286854622
105164520816
112210267a24
1210017073a8
13643c72ca0
1436dc8a000
152036035cb
hex133d45570

5164520816 has 160 divisors (see below), whose sum is σ = 12665856000. Its totient is φ = 2027047680.

The previous prime is 5164520789. The next prime is 5164520819. The reversal of 5164520816 is 6180254615.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 5164520816.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5164520819) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13626515 + ... + 13626893.

It is an arithmetic number, because the mean of its divisors is an integer number (79161600).

Almost surely, 25164520816 is an apocalyptic number.

5164520816 is a gapful number since it is divisible by the number (56) 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 5164520816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6332928000).

5164520816 is an abundant number, since it is smaller than the sum of its proper divisors (7501335184).

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

5164520816 is a wasteful number, since it uses less digits than its factorization.

5164520816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 38.

The square root of 5164520816 is about 71864.6005763617. The cubic root of 5164520816 is about 1728.5290286216.

The spelling of 5164520816 in words is "five billion, one hundred sixty-four million, five hundred twenty thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 13 14 16 26 28 49 52 56 91 98 104 112 182 191 196 208 343 364 379 382 392 637 686 728 758 764 784 1274 1337 1372 1456 1516 1528 2483 2548 2653 2674 2744 3032 3056 4459 4927 4966 5096 5306 5348 5488 6064 8918 9359 9854 9932 10192 10612 10696 17381 17836 18571 18718 19708 19864 21224 21392 34489 34762 35672 37142 37436 39416 39728 42448 65513 68978 69524 71344 72389 74284 74872 78832 121667 129997 131026 137956 139048 144778 148568 149744 241423 243334 259994 262052 275912 278096 289556 297136 482846 486668 506723 519988 524104 551824 579112 851669 941057 965692 973336 1013446 1039976 1048208 1158224 1689961 1703338 1882114 1931384 1946672 2026892 2079952 3379922 3406676 3547061 3764228 3862768 4053784 6587399 6759844 6813352 7094122 7528456 8107568 13174798 13519688 13626704 14188244 15056912 24829427 26349596 27039376 28376488 46111793 49658854 52699192 56752976 92223586 99317708 105398384 184447172 198635416 322782551 368894344 397270832 645565102 737788688 1291130204 2582260408 5164520816