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63628549009 = 3127921032
BaseRepresentation
bin111011010000100011…
…101001101110010001
320002020101100012020021
4323100203221232101
52020302402032014
645121444343441
74411526512534
oct732043515621
9202211305207
1063628549009
1124a917256a3
12103b90a4b81
1360004249cc
143118754a1b
1519c60a3624
hexed08e9b91

63628549009 has 27 divisors (see below), whose sum is σ = 67242854889. Its totient is φ = 60206313960.

The previous prime is 63628548983. The next prime is 63628549021. The reversal of 63628549009 is 90094582636.

The square root of 63628549009 is 252247.

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

63628549009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 63628549009 - 231 = 61481065361 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (63628549069) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 617752852 + ... + 617752954.

It is an arithmetic number, because the mean of its divisors is an integer number (2490476107).

Almost surely, 263628549009 is an apocalyptic number.

63628549009 is the 252247-th square number.

63628549009 is the 126124-th centered octagonal number.

It is an amenable number.

63628549009 is a deficient number, since it is larger than the sum of its proper divisors (3614305880).

63628549009 is an frugal number, since it uses more digits than its factorization.

63628549009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 52.

The spelling of 63628549009 in words is "sixty-three billion, six hundred twenty-eight million, five hundred forty-nine thousand, nine".

Divisors: 1 31 79 103 961 2449 3193 6241 8137 10609 75919 98983 193471 252247 328879 642823 838111 5997601 7819657 10195249 19927513 25981441 66210769 617752903 805424671 2052533839 63628549009