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5737456516 = 221143132
BaseRepresentation
bin1010101011111101…
…01010001110000100
3112210212000222201111
411111332222032010
543222242102031
62345153334404
7262115401321
oct52576521604
915725028644
105737456516
112484710000
121141567404
13705883bac
143c5dc9b48
15238a771b1
hex155faa384

5737456516 has 45 divisors (see below), whose sum is σ = 11079934005. Its totient is φ = 2599602720.

The previous prime is 5737456511. The next prime is 5737456519. The reversal of 5737456516 is 6156547375.

The square root of 5737456516 is 75746.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 36602500 + 5700854016 = 6050^2 + 75504^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 5737456516.

It is not an unprimeable number, because it can be changed into a prime (5737456511) by changing a digit.

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 14 ways as a sum of consecutive naturals, for example, 18330376 + ... + 18330688.

Almost surely, 25737456516 is an apocalyptic number.

5737456516 is the 75746-th square number.

It is an amenable number.

5737456516 is a deficient number, since it is larger than the sum of its proper divisors (5342477489).

5737456516 is an frugal number, since it uses more digits than its factorization.

5737456516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 326 counting only the distinct ones).

The product of its digits is 2646000, while the sum is 49.

The cubic root of 5737456516 is about 1790.2202652283.

Multiplying 5737456516 by its sum of digits (49), we get a square (281135369284 = 5302222).

The spelling of 5737456516 in words is "five billion, seven hundred thirty-seven million, four hundred fifty-six thousand, five hundred sixteen".

Divisors: 1 2 4 11 22 44 121 242 313 484 626 1252 1331 2662 3443 5324 6886 13772 14641 29282 37873 58564 75746 97969 151492 195938 391876 416603 833206 1077659 1666412 2155318 4310636 4582633 9165266 11854249 18330532 23708498 47416996 130396739 260793478 521586956 1434364129 2868728258 5737456516