Search a number
-
+
48106001350801 = 69358492
BaseRepresentation
bin10101111000000100011010…
…00111110100000010010001
320022022212222221112222001101
422330002031013310002101
522301132042321211201
6250151331505104401
713063354362504112
oct1274021507640221
9208285887488041
1048106001350801
1114367705707059
12548b322628101
1320ac4b811abb4
14bc44b2c5a209
15586532bbed01
hex2bc08d1f4091

48106001350801 has 3 divisors (see below), whose sum is σ = 48106008286651. Its totient is φ = 48105994414952.

The previous prime is 48106001350721. The next prime is 48106001350889. The reversal of 48106001350801 is 10805310060184.

The square root of 48106001350801 is 6935849.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 3775439416401 + 44330561934400 = 1943049^2 + 6658120^2 .

It is not a de Polignac number, because 48106001350801 - 211 = 48106001348753 is a prime.

It is a super-3 number, since 3×481060013508013 (a number of 42 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (48106001350601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 3467925 + ... + 10403773.

Almost surely, 248106001350801 is an apocalyptic number.

48106001350801 is the 6935849-th square number.

48106001350801 is the 3467925-th centered octagonal number.

It is an amenable number.

48106001350801 is a deficient number, since it is larger than the sum of its proper divisors (6935850).

48106001350801 is an frugal number, since it uses more digits than its factorization.

48106001350801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13871698 (or 6935849 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 37.

The spelling of 48106001350801 in words is "forty-eight trillion, one hundred six billion, one million, three hundred fifty thousand, eight hundred one".

Divisors: 1 6935849 48106001350801