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49961380392 = 2333721131109127
BaseRepresentation
bin101110100001111011…
…100010101000101000
311202221220011002111000
4232201323202220220
51304310103133032
634541341435000
73416042504100
oct564173425050
9152856132430
1049961380392
111a208995620
129823b6ba60
134932a6a5a1
1425bd55a200
1514762b6e7c
hexba1ee2a28

49961380392 has 768 divisors, whose sum is σ = 184909824000. Its totient is φ = 12345177600.

The previous prime is 49961380379. The next prime is 49961380453. The reversal of 49961380392 is 29308316994.

49961380392 is a `hidden beast` number, since 499 + 61 + 3 + 8 + 0 + 3 + 92 = 666.

It is a super-2 number, since 2×499613803922 (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 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 191 ways as a sum of consecutive naturals, for example, 393396633 + ... + 393396759.

It is an arithmetic number, because the mean of its divisors is an integer number (240768000).

Almost surely, 249961380392 is an apocalyptic number.

49961380392 is a gapful number since it is divisible by the number (42) 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 49961380392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92454912000).

49961380392 is an abundant number, since it is smaller than the sum of its proper divisors (134948443608).

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

49961380392 is a wasteful number, since it uses less digits than its factorization.

49961380392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 49961380392 in words is "forty-nine billion, nine hundred sixty-one million, three hundred eighty thousand, three hundred ninety-two".