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248435102641 = 1122585009331
BaseRepresentation
bin1110011101011111100…
…0101101001110110001
3212202020212110211111211
43213113320231032301
513032243341241031
6310043550240121
723643311346535
oct3472770551661
9782225424454
10248435102641
11963a7158750
12401944b6041
131a572ac681b
14c04aa57bc5
1566e0750bb1
hex39d7e2d3b1

248435102641 has 4 divisors (see below), whose sum is σ = 271020111984. Its totient is φ = 225850093300.

The previous prime is 248435102611. The next prime is 248435102659. The reversal of 248435102641 is 146201534842.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 248435102641 - 215 = 248435069873 is a prime.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 248435102594 and 248435102603.

It is not an unprimeable number, because it can be changed into a prime (248435102611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11292504655 + ... + 11292504676.

It is an arithmetic number, because the mean of its divisors is an integer number (67755027996).

Almost surely, 2248435102641 is an apocalyptic number.

It is an amenable number.

248435102641 is a deficient number, since it is larger than the sum of its proper divisors (22585009343).

248435102641 is a wasteful number, since it uses less digits than its factorization.

248435102641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22585009342.

The product of its (nonzero) digits is 184320, while the sum is 40.

The spelling of 248435102641 in words is "two hundred forty-eight billion, four hundred thirty-five million, one hundred two thousand, six hundred forty-one".

Divisors: 1 11 22585009331 248435102641