Search a number
-
+
248048226777 = 31315581408203
BaseRepresentation
bin1110011100000011010…
…0111001000111011001
3212201020220111111121010
43213000310321013121
513031000321224102
6305541330204133
723630603065551
oct3470064710731
9781226444533
10248048226777
119621883712a
12400a6a23649
131a5108cbab0
14c01150c161
1566bb7d0d6c
hex39c0d391d9

248048226777 has 16 divisors (see below), whose sum is σ = 356195544768. Its totient is φ = 152634891840.

The previous prime is 248048226761. The next prime is 248048226779. The reversal of 248048226777 is 777622840842.

248048226777 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 248048226777 - 24 = 248048226761 is a prime.

It is not an unprimeable number, because it can be changed into a prime (248048226779) 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 15 ways as a sum of consecutive naturals, for example, 403558 + ... + 811760.

It is an arithmetic number, because the mean of its divisors is an integer number (22262221548).

Almost surely, 2248048226777 is an apocalyptic number.

It is an amenable number.

248048226777 is a deficient number, since it is larger than the sum of its proper divisors (108147317991).

248048226777 is a wasteful number, since it uses less digits than its factorization.

248048226777 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423800.

The product of its (nonzero) digits is 16859136, while the sum is 57.

It can be divided in two parts, 248048 and 226777, that added together give a triangular number (474825 = T974).

The spelling of 248048226777 in words is "two hundred forty-eight billion, forty-eight million, two hundred twenty-six thousand, seven hundred seventy-seven".

Divisors: 1 3 13 39 15581 46743 202553 408203 607659 1224609 5306639 15919917 6360210943 19080632829 82682742259 248048226777