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248355544325 = 5273019470081
BaseRepresentation
bin1110011101001100100…
…1001101110100000101
3212202001022202212000112
43213103021031310011
513032113004404300
6310032025122405
723641324203230
oct3472311156405
9782038685015
10248355544325
1196366259379
1240171929405
131a55c48c4b5
14c040268417
1566d8787e35
hex39d324dd05

248355544325 has 24 divisors (see below), whose sum is σ = 352072614720. Its totient is φ = 170244172800.

The previous prime is 248355544253. The next prime is 248355544357. The reversal of 248355544325 is 523445553842.

248355544325 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 248355544325 - 212 = 248355540229 is a prime.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 293285 + ... + 763365.

It is an arithmetic number, because the mean of its divisors is an integer number (14669692280).

Almost surely, 2248355544325 is an apocalyptic number.

248355544325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

248355544325 is a deficient number, since it is larger than the sum of its proper divisors (103717070395).

248355544325 is a wasteful number, since it uses less digits than its factorization.

248355544325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473117 (or 473112 counting only the distinct ones).

The product of its digits is 11520000, while the sum is 50.

The spelling of 248355544325 in words is "two hundred forty-eight billion, three hundred fifty-five million, five hundred forty-four thousand, three hundred twenty-five".

Divisors: 1 5 7 25 35 175 3019 15095 21133 75475 105665 470081 528325 2350405 3290567 11752025 16452835 82264175 1419174539 7095872695 9934221773 35479363475 49671108865 248355544325