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616223430001 = 307225572
BaseRepresentation
bin10001111011110011100…
…01110101010101110001
32011220120200002200122001
420331321301311111301
540044011144230001
61151031130414001
762343406505524
oct10757161652561
92156520080561
10616223430001
11218380074693
129b517b91301
1346156ab242a
1421b7ab76bbb
151106929a001
hex8f79c75571

616223430001 has 9 divisors (see below), whose sum is σ = 618479087499. Its totient is φ = 613975977864.

The previous prime is 616223429999. The next prime is 616223430029. The reversal of 616223430001 is 100034322616.

The square root of 616223430001 is 784999.

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., 264427350625 + 351796079376 = 514225^2 + 593124^2 .

It is not a de Polignac number, because 616223430001 - 21 = 616223429999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (616223430091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 240993415 + ... + 240995971.

It is an arithmetic number, because the mean of its divisors is an integer number (68719898611).

Almost surely, 2616223430001 is an apocalyptic number.

616223430001 is the 784999-th square number.

616223430001 is the 392500-th centered octagonal number.

It is an amenable number.

616223430001 is a deficient number, since it is larger than the sum of its proper divisors (2255657498).

616223430001 is an frugal number, since it uses more digits than its factorization.

616223430001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5728 (or 2864 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 616223430001 its reverse (100034322616), we get a palindrome (716257752617).

The spelling of 616223430001 in words is "six hundred sixteen billion, two hundred twenty-three million, four hundred thirty thousand, one".

Divisors: 1 307 2557 94249 784999 6538249 240994693 2007242443 616223430001