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48199382406 = 23272316631947
BaseRepresentation
bin101100111000111010…
…000011010110000110
311121102002122022122100
4230320322003112012
51242203020214111
634050440012530
73324265663530
oct547072032606
9147362568570
1048199382406
111949432743a
129411a61146
1347119c4826
142493536850
1513c1768756
hexb38e83586

48199382406 has 48 divisors (see below), whose sum is σ = 124540026624. Its totient is φ = 13172501232.

The previous prime is 48199382359. The next prime is 48199382417. The reversal of 48199382406 is 60428399184.

48199382406 is a `hidden beast` number, since 48 + 199 + 3 + 8 + 2 + 406 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 8313076 + ... + 8318871.

It is an arithmetic number, because the mean of its divisors is an integer number (2594583888).

Almost surely, 248199382406 is an apocalyptic number.

48199382406 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

48199382406 is an abundant number, since it is smaller than the sum of its proper divisors (76340644218).

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

48199382406 is a wasteful number, since it uses less digits than its factorization.

48199382406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16631985 (or 16631982 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 48199382406 in words is "forty-eight billion, one hundred ninety-nine million, three hundred eighty-two thousand, four hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 63 69 126 138 161 207 322 414 483 966 1449 2898 16631947 33263894 49895841 99791682 116423629 149687523 232847258 299375046 349270887 382534781 698541774 765069562 1047812661 1147604343 2095625322 2295208686 2677743467 3442813029 5355486934 6885626058 8033230401 16066460802 24099691203 48199382406