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48567659868 = 223273132910433
BaseRepresentation
bin101101001110110110…
…111010110101011100
311122100202121202100100
4231032312322311130
51243431310103433
634151153301100
73336360204000
oct551666726534
9148322552310
1048567659868
11196631a5782
1294b5264790
1347700aa0a0
1424ca400700
1513e3c62b13
hexb4edbad5c

48567659868 has 288 divisors, whose sum is σ = 159514992000. Its totient is φ = 12366176256.

The previous prime is 48567659813. The next prime is 48567659887. The reversal of 48567659868 is 86895676584.

It is a happy number.

48567659868 is a `hidden beast` number, since 4 + 8 + 567 + 6 + 59 + 8 + 6 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 48567659796 and 48567659805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4649980 + ... + 4660412.

It is an arithmetic number, because the mean of its divisors is an integer number (553871500).

Almost surely, 248567659868 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 48567659868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79757496000).

48567659868 is an abundant number, since it is smaller than the sum of its proper divisors (110947332132).

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

48567659868 is a wasteful number, since it uses less digits than its factorization.

48567659868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10506 (or 10487 counting only the distinct ones).

The product of its digits is 696729600, while the sum is 72.

The spelling of 48567659868 in words is "forty-eight billion, five hundred sixty-seven million, six hundred fifty-nine thousand, eight hundred sixty-eight".