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49248619056 = 24337131936491
BaseRepresentation
bin101101110111011100…
…100100101000110000
311201010012222001202000
4231313130210220300
51301330121302211
634342520454000
73362266232520
oct556734445060
9151105861660
1049248619056
111998261a46a
12966531a300
13484b1b0810
142552a1d680
151433923656
hexb77724a30

49248619056 has 320 divisors, whose sum is σ = 174912138240. Its totient is φ = 12919357440.

The previous prime is 49248618983. The next prime is 49248619109. The reversal of 49248619056 is 65091684294.

49248619056 is a `hidden beast` number, since 492 + 4 + 8 + 61 + 90 + 5 + 6 = 666.

49248619056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×492486190562 (a number of 22 digits) contains 22 as substring.

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 = 49248618993 and 49248619011.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7583971 + ... + 7590461.

It is an arithmetic number, because the mean of its divisors is an integer number (546600432).

Almost surely, 249248619056 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 49248619056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87456069120).

49248619056 is an abundant number, since it is smaller than the sum of its proper divisors (125663519184).

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

49248619056 is a wasteful number, since it uses less digits than its factorization.

49248619056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6721 (or 6709 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 49248619056 in words is "forty-nine billion, two hundred forty-eight million, six hundred nineteen thousand, fifty-six".