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48443256494161 = 41253232032
BaseRepresentation
bin10110000001111000100110…
…00110000101100001010001
320100112010111211121100211221
423000330103012011201101
522322143242130303121
6251010305205205041
713126624025100664
oct1300742306054121
9210463454540757
1048443256494161
1114487740417a31
125524764700781
13210524443b319
14bd6947bbb6db
155901c0dbeb41
hex2c0f13185851

48443256494161 has 27 divisors (see below), whose sum is σ = 50623959945937. Its totient is φ = 46355506159040.

The previous prime is 48443256494093. The next prime is 48443256494173. The reversal of 48443256494161 is 16149465234484.

The square root of 48443256494161 is 6960119.

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

It can be written as a sum of positive squares in 4 ways, for example, as 5244764121025 + 43198492373136 = 2290145^2 + 6572556^2 .

It is not a de Polignac number, because 48443256494161 - 219 = 48443255969873 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 48443256494161.

It is not an unprimeable number, because it can be changed into a prime (48443256494861) 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, 15124336986 + ... + 15124340188.

Almost surely, 248443256494161 is an apocalyptic number.

48443256494161 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

48443256494161 is the 6960119-th square number.

48443256494161 is the 3480060-th centered octagonal number.

It is an amenable number.

48443256494161 is a deficient number, since it is larger than the sum of its proper divisors (2180703451776).

48443256494161 is an frugal number, since it uses more digits than its factorization.

48443256494161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6594 (or 3297 counting only the distinct ones).

The product of its digits is 79626240, while the sum is 61.

The spelling of 48443256494161 in words is "forty-eight trillion, four hundred forty-three billion, two hundred fifty-six million, four hundred ninety-four thousand, one hundred sixty-one".

Divisors: 1 41 53 1681 2173 2809 3203 89093 115169 131323 169759 4721929 5384243 6960119 8997227 10259209 285364879 368886307 420627569 543738077 15124338587 17245730329 22293261157 28818118081 914023707437 1181542841321 48443256494161