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248708000000 = 285697641
BaseRepresentation
bin1110011110100000100…
…1101110100100000000
3212202221212222110022102
43213220021232210000
513033323222000000
6310131015325532
723653134055625
oct3475011564400
9782855873272
10248708000000
1196527200559
124024b9808a8
131a5b74c5355
14c074db434c
1567096a93d5
hex39e826e900

248708000000 has 252 divisors, whose sum is σ = 627923134356. Its totient is φ = 98304000000.

The previous prime is 248707999909. The next prime is 248708000017. The reversal of 248708000000 is 807842.

It can be written as a sum of positive squares in 14 ways, for example, as 237161208064 + 11546791936 = 486992^2 + 107456^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 387999680 + ... + 388000320.

Almost surely, 2248708000000 is an apocalyptic number.

248708000000 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 248708000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313961567178).

248708000000 is an abundant number, since it is smaller than the sum of its proper divisors (379215134356).

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

248708000000 is an frugal number, since it uses more digits than its factorization.

248708000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

Adding to 248708000000 its reverse (807842), we get a palindrome (248708807842).

The spelling of 248708000000 in words is "two hundred forty-eight billion, seven hundred eight million", and thus it is an aban number.