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239840206848 = 21337111217
BaseRepresentation
bin1101111101011110010…
…1110010000000000000
3211221001212122220000000
43133113211302000000
512412143043104343
6302103040000000
723220315056364
oct3372745620000
9757055586000
10239840206848
11927965a9290
123a596000000
1319803254178
14b8733752a4
15638ade4ed3
hex37d7972000

239840206848 has 448 divisors, whose sum is σ = 785408883840. Its totient is φ = 72619130880.

The previous prime is 239840206807. The next prime is 239840206873. The reversal of 239840206848 is 848602048932.

239840206848 is a `hidden beast` number, since 2 + 398 + 4 + 0 + 206 + 8 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 239840206794 and 239840206803.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 197074336 + ... + 197075552.

It is an arithmetic number, because the mean of its divisors is an integer number (1753144830).

Almost surely, 2239840206848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 239840206848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392704441920).

239840206848 is an abundant number, since it is smaller than the sum of its proper divisors (545568676992).

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

239840206848 is an frugal number, since it uses more digits than its factorization.

239840206848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1275 (or 1233 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 239840206848 in words is "two hundred thirty-nine billion, eight hundred forty million, two hundred six thousand, eight hundred forty-eight".