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248208486860 = 225299713732203
BaseRepresentation
bin1110011100101001100…
…0001111000111001100
3212201200002001120002202
43213022120033013030
513031312333034420
6310005253141032
723634560220245
oct3471230170714
9781602046082
10248208486860
11962a0246984
124013062a778
131a537b80a49
14c028907ccc
1566ca8da575
hex39ca60f1cc

248208486860 has 96 divisors (see below), whose sum is σ = 548763888960. Its totient is φ = 94176165888.

The previous prime is 248208486847. The next prime is 248208486919. The reversal of 248208486860 is 68684802842.

It is a happy number.

248208486860 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 248208486796 and 248208486805.

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 31 ways as a sum of consecutive naturals, for example, 7691519 + ... + 7723721.

It is an arithmetic number, because the mean of its divisors is an integer number (5716290510).

Almost surely, 2248208486860 is an apocalyptic number.

248208486860 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248208486860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274381944480).

248208486860 is an abundant number, since it is smaller than the sum of its proper divisors (300555402100).

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

248208486860 is a wasteful number, since it uses less digits than its factorization.

248208486860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32475 (or 32473 counting only the distinct ones).

The product of its (nonzero) digits is 9437184, while the sum is 56.

The spelling of 248208486860 in words is "two hundred forty-eight billion, two hundred eight million, four hundred eighty-six thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 20 29 58 97 116 137 145 194 274 290 388 485 548 580 685 970 1370 1940 2740 2813 3973 5626 7946 11252 13289 14065 15892 19865 26578 28130 32203 39730 53156 56260 64406 66445 79460 128812 132890 161015 265780 322030 385381 644060 770762 933887 1541524 1867774 1926905 3123691 3735548 3853810 4411811 4669435 6247382 7707620 8823622 9338870 12494764 15618455 17647244 18677740 22059055 31236910 44118110 62473820 88236220 90587039 127942519 181174078 255885038 362348156 427945667 452935195 511770076 639712595 855891334 905870390 1279425190 1711782668 1811740780 2139728335 2558850380 4279456670 8558913340 12410424343 24820848686 49641697372 62052121715 124104243430 248208486860