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48863544601 = 172130032
BaseRepresentation
bin101101100000011111…
…101000010100011001
311200010101101020220011
4231200133220110121
51300033031411401
634240403201521
73346612163464
oct554037502431
9150111336804
1048863544601
11197a5219313
1295783762a1
1347b9496a01
1425178222db
15140ec0c451
hexb607e8519

48863544601 has 9 divisors (see below), whose sum is σ = 51910940991. Its totient is φ = 45985681632.

The previous prime is 48863544581. The next prime is 48863544641. The reversal of 48863544601 is 10644536884.

The square root of 48863544601 is 221051.

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., 38042552025 + 10820992576 = 195045^2 + 104024^2 .

It is not a de Polignac number, because 48863544601 - 29 = 48863544089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (48863544641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3751366 + ... + 3764368.

Almost surely, 248863544601 is an apocalyptic number.

48863544601 is the 221051-st square number.

48863544601 is the 110526-th centered octagonal number.

It is an amenable number.

48863544601 is a deficient number, since it is larger than the sum of its proper divisors (3047396390).

48863544601 is an frugal number, since it uses more digits than its factorization.

48863544601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26040 (or 13020 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 49.

Multiplying 48863544601 by its sum of digits (49), we get a square (2394313685449 = 15473572).

The spelling of 48863544601 in words is "forty-eight billion, eight hundred sixty-three million, five hundred forty-four thousand, six hundred one".

Divisors: 1 17 289 13003 221051 3757867 169078009 2874326153 48863544601