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63478172047761 = 3226557732
BaseRepresentation
bin11100110111011101010011…
…11001010101100110010001
322022202110020221201122100100
432123232221321111212101
531310011244021012021
6343001245240243013
716241101164511362
oct1633565171254621
9268673227648310
1063478172047761
1119253a3a280729
1271525b3470469
132955c73225593
141196507899b69
1575132d983626
hex39bba9e55991

63478172047761 has 9 divisors (see below), whose sum is σ = 91690727482939. Its totient is φ = 42318765430536.

The previous prime is 63478172047729. The next prime is 63478172047781. The reversal of 63478172047761 is 16774027187436.

It is a happy number.

The square root of 63478172047761 is 7967319.

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

63478172047761 is a `hidden beast` number, since 6 + 3 + 4 + 7 + 81 + 7 + 20 + 477 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2110438980225 + 61367733067536 = 1452735^2 + 7833756^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 63478172047761 - 25 = 63478172047729 is a prime.

It is a super-2 number, since 2×634781720477612 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (63478172047781) 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, 22574071 + ... + 25229843.

Almost surely, 263478172047761 is an apocalyptic number.

63478172047761 is the 7967319-th square number.

63478172047761 is the 3983660-th centered octagonal number.

It is an amenable number.

63478172047761 is a deficient number, since it is larger than the sum of its proper divisors (28212555435178).

63478172047761 is an frugal number, since it uses more digits than its factorization.

63478172047761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5311552 (or 2655776 counting only the distinct ones).

The product of its (nonzero) digits is 66382848, while the sum is 63.

The spelling of 63478172047761 in words is "sixty-three trillion, four hundred seventy-eight billion, one hundred seventy-two million, forty-seven thousand, seven hundred sixty-one".

Divisors: 1 3 9 2655773 7967319 23901957 7053130227529 21159390682587 63478172047761