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49947416064000 = 2123253713311383
BaseRepresentation
bin10110101101101010010011…
…11111011111000000000000
320112211221000022012112200200
423112311021333133000000
523021314302003022000
6254121305353045200
713343403350351220
oct1326651177370000
9215757008175620
1049947416064000
1114a07642272744
1257281886b6800
1321b4037546050
14c49679a58080
155b93a850e500
hex2d6d49fdf000

49947416064000 has 2496 divisors, whose sum is σ = 222899306692608. Its totient is φ = 10477043712000.

The previous prime is 49947416063957. The next prime is 49947416064019. The reversal of 49947416064000 is 46061474994.

49947416064000 is a `hidden beast` number, since 4 + 9 + 9 + 4 + 74 + 160 + 6 + 400 + 0 = 666.

49947416064000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2496).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 130411007809 + ... + 130411008191.

It is an arithmetic number, because the mean of its divisors is an integer number (89302606848).

Almost surely, 249947416064000 is an apocalyptic number.

49947416064000 is a gapful number since it is divisible by the number (40) 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 49947416064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111449653346304).

49947416064000 is an abundant number, since it is smaller than the sum of its proper divisors (172951890628608).

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

49947416064000 is a wasteful number, since it uses less digits than its factorization.

49947416064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 49947416064000 in words is "forty-nine trillion, nine hundred forty-seven billion, four hundred sixteen million, sixty-four thousand".