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248408354057 = 1755726233853
BaseRepresentation
bin1110011101011001001…
…0101010110100001001
3212202012000010212100112
43213112102222310021
513032220014312212
6310041153044105
723642535112403
oct3472622526411
9782160125315
10248408354057
1196393049086
1240187556635
131a56a3bc766
14c047293b73
1566dd21a422
hex39d64aad09

248408354057 has 8 divisors (see below), whose sum is σ = 263492829576. Its totient is φ = 233376347392.

The previous prime is 248408354027. The next prime is 248408354069. The reversal of 248408354057 is 750453804842.

248408354057 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2897022976 + 245511331081 = 53824^2 + 495491^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-248408354057 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 248408353996 and 248408354014.

It is not an unprimeable number, because it can be changed into a prime (248408354017) 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 7 ways as a sum of consecutive naturals, for example, 13107458 + ... + 13126395.

It is an arithmetic number, because the mean of its divisors is an integer number (32936603697).

Almost surely, 2248408354057 is an apocalyptic number.

It is an amenable number.

248408354057 is a deficient number, since it is larger than the sum of its proper divisors (15084475519).

248408354057 is a wasteful number, since it uses less digits than its factorization.

248408354057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26234427.

The product of its (nonzero) digits is 4300800, while the sum is 50.

The spelling of 248408354057 in words is "two hundred forty-eight billion, four hundred eight million, three hundred fifty-four thousand, fifty-seven".

Divisors: 1 17 557 9469 26233853 445975501 14612256121 248408354057