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248370398080 = 27572314871621
BaseRepresentation
bin1110011101010000000…
…1111000001110000000
3212202002100201111112121
43213110001320032000
513032130310214310
6310033315334024
723641564356520
oct3472401701600
9782070644477
10248370398080
1196373684202
12401768b1314
131a5625903bc
14c042213680
1566d9c1e0da
hex39d4078380

248370398080 has 256 divisors, whose sum is σ = 709000335360. Its totient is φ = 81348157440.

The previous prime is 248370398077. The next prime is 248370398117. The reversal of 248370398080 is 80893073842.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153219670 + ... + 153221290.

It is an arithmetic number, because the mean of its divisors is an integer number (2769532560).

Almost surely, 2248370398080 is an apocalyptic number.

248370398080 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 248370398080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354500167680).

248370398080 is an abundant number, since it is smaller than the sum of its proper divisors (460629937280).

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

248370398080 is a wasteful number, since it uses less digits than its factorization.

248370398080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3157 (or 3145 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 52.

The spelling of 248370398080 in words is "two hundred forty-eight billion, three hundred seventy million, three hundred ninety-eight thousand, eighty".