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48673826615569 = 3112224332
BaseRepresentation
bin10110001000100110000100…
…01001010011000100010001
320101100011122122222010021011
423010103002021103010101
522334432444103144234
6251304240335130521
713152365540561251
oct1304230211230421
9211304578863234
1048673826615569
11145664aa222881
125561392073a41
132120bcac8951c
14c03b7bd13961
155961b8037b64
hex2c44c2253111

48673826615569 has 9 divisors (see below), whose sum is σ = 48833014174459. Its totient is φ = 48515156368960.

The previous prime is 48673826615563. The next prime is 48673826615573. The reversal of 48673826615569 is 96551662837684.

The square root of 48673826615569 is 6976663.

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., 44190918140625 + 4482908474944 = 6647625^2 + 2117288^2 .

It is not a de Polignac number, because 48673826615569 - 219 = 48673826091281 is a prime.

It is a super-2 number, since 2×486738266155692 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 48673826615495 and 48673826615504.

It is not an unprimeable number, because it can be changed into a prime (48673826615563) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2169730977 + ... + 2169753409.

Almost surely, 248673826615569 is an apocalyptic number.

48673826615569 is the 6976663-rd square number.

48673826615569 is the 3488332-nd centered octagonal number.

It is an amenable number.

48673826615569 is a deficient number, since it is larger than the sum of its proper divisors (159187558890).

48673826615569 is an frugal number, since it uses more digits than its factorization.

48673826615569 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45488 (or 22744 counting only the distinct ones).

The product of its digits is 3135283200, while the sum is 76.

The spelling of 48673826615569 in words is "forty-eight trillion, six hundred seventy-three billion, eight hundred twenty-six million, six hundred fifteen thousand, five hundred sixty-nine".

Divisors: 1 311 22433 96721 6976663 503239489 2169742193 156507481079 48673826615569