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49001577769 = 181212232
BaseRepresentation
bin101101101000101110…
…001011110100101001
311200111000010001210201
4231220232023310221
51300323400442034
634302213512201
73353206352524
oct555056136451
9150430101721
1049001577769
1119866127711
1295b6642661
13480bc65a41
14252bcb3bbb
15141bdc6014
hexb68b8bd29

49001577769 has 9 divisors (see below), whose sum is σ = 49314122679. Its totient is φ = 48691005480.

The previous prime is 49001577743. The next prime is 49001577827. The reversal of 49001577769 is 96777510094.

The square root of 49001577769 is 221363.

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., 539958169 + 48461619600 = 23237^2 + 220140^2 .

It is not a de Polignac number, because 49001577769 - 27 = 49001577641 is a prime.

It is a super-2 number, since 2×490015777692 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (49001577739) by changing a digit.

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, 40066092 + ... + 40067314.

Almost surely, 249001577769 is an apocalyptic number.

49001577769 is the 221363-rd square number.

49001577769 is the 110682-nd centered octagonal number.

It is an amenable number.

49001577769 is a deficient number, since it is larger than the sum of its proper divisors (312544910).

49001577769 is an frugal number, since it uses more digits than its factorization.

49001577769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2808 (or 1404 counting only the distinct ones).

The product of its (nonzero) digits is 3333960, while the sum is 55.

The spelling of 49001577769 in words is "forty-nine billion, one million, five hundred seventy-seven thousand, seven hundred sixty-nine".

Divisors: 1 181 1223 32761 221363 1495729 40066703 270726949 49001577769