Search a number
-
+
248103263800 = 23527177216617
BaseRepresentation
bin1110011100010000011…
…0110101111000111000
3212201101202001200012101
43213010012311320320
513031103413420200
6305551013553144
723632141642420
oct3470406657070
9781352050171
10248103263800
1196246908277
12401013457b4
131a51c12ba92
14c018957480
1566c155326a
hex39c41b5e38

248103263800 has 48 divisors (see below), whose sum is σ = 659245818960. Its totient is φ = 85063975680.

The previous prime is 248103263789. The next prime is 248103263801. The reversal of 248103263800 is 8362301842.

248103263800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 248103263800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248103263801) 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 11 ways as a sum of consecutive naturals, for example, 88606909 + ... + 88609708.

It is an arithmetic number, because the mean of its divisors is an integer number (13734287895).

Almost surely, 2248103263800 is an apocalyptic number.

248103263800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248103263800 is an abundant number, since it is smaller than the sum of its proper divisors (411142555160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

248103263800 is a wasteful number, since it uses less digits than its factorization.

248103263800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177216640 (or 177216631 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The spelling of 248103263800 in words is "two hundred forty-eight billion, one hundred three million, two hundred sixty-three thousand, eight hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 177216617 354433234 708866468 886083085 1240516319 1417732936 1772166170 2481032638 3544332340 4430415425 4962065276 6202581595 7088664680 8860830850 9924130552 12405163190 17721661700 24810326380 31012907975 35443323400 49620652760 62025815950 124051631900 248103263800