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63613415089 = 7213722632
BaseRepresentation
bin111011001111101001…
…111010111010110001
320002012022212022101201
4323033221322322301
52020240013240324
645120144131201
74411254051400
oct731751727261
9202168768351
1063613415089
1124a84129324
12103b4006b01
135cca256423
143116735637
1519c4ab4444
hexecfa7aeb1

63613415089 has 27 divisors (see below), whose sum is σ = 74827874667. Its totient is φ = 53921976864.

The previous prime is 63613415077. The next prime is 63613415141. The reversal of 63613415089 is 98051431636.

The square root of 63613415089 is 252217.

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., 37366823025 + 26246592064 = 193305^2 + 162008^2 .

It is not a de Polignac number, because 63613415089 - 213 = 63613406897 is a prime.

It is not an unprimeable number, because it can be changed into a prime (63613415029) 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 26 ways as a sum of consecutive naturals, for example, 241875972 + ... + 241876234.

Almost surely, 263613415089 is an apocalyptic number.

63613415089 is the 252217-th square number.

63613415089 is the 126109-th centered octagonal number.

It is an amenable number.

63613415089 is a deficient number, since it is larger than the sum of its proper divisors (11214459578).

63613415089 is an frugal number, since it uses more digits than its factorization.

63613415089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 46.

The spelling of 63613415089 in words is "sixty-three billion, six hundred thirteen million, four hundred fifteen thousand, eighty-nine".

Divisors: 1 7 49 137 263 959 1841 6713 12887 18769 36031 69169 131383 252217 484183 919681 1765519 3389281 4936247 9476153 34553729 66333071 241876103 464331497 1298232961 9087630727 63613415089