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5097388816 = 2413213732
BaseRepresentation
bin1001011111101001…
…11111101100010000
3111011020122011220101
410233310333230100
540414412420231
62201450422144
7240214042612
oct45764775420
914136564811
105097388816
112186385733
12ba3131954
13633099a00
14364db2db2
151ec792661
hex12fd3fb10

5097388816 has 45 divisors (see below), whose sum is σ = 10702131519. Its totient is φ = 2350927488.

The previous prime is 5097388801. The next prime is 5097388867. The reversal of 5097388816 is 6188837905.

The square root of 5097388816 is 71396.

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

It can be written as a sum of positive squares in 4 ways, for example, as 407878416 + 4689510400 = 20196^2 + 68480^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3711906 + ... + 3713278.

Almost surely, 25097388816 is an apocalyptic number.

5097388816 is the 71396-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5097388816

5097388816 is an abundant number, since it is smaller than the sum of its proper divisors (5604742703).

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

5097388816 is an equidigital number, since it uses as much as digits as its factorization.

5097388816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2780 (or 1388 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 55.

The cubic root of 5097388816 is about 1721.0068037369.

The spelling of 5097388816 in words is "five billion, ninety-seven million, three hundred eighty-eight thousand, eight hundred sixteen".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 1373 2704 2746 5492 10984 17849 21968 35698 71396 142792 232037 285584 464074 928148 1856296 1885129 3712592 3770258 7540516 15081032 24506677 30162064 49013354 98026708 196053416 318586801 392106832 637173602 1274347204 2548694408 5097388816