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49213812384 = 25331119972593
BaseRepresentation
bin101101110101010111…
…110010111010100000
311201000210110200222000
4231311113302322200
51301242213444014
634335234444000
73361364334402
oct556527627240
9151023420860
1049213812384
1119964a06720
129655733600
134843c14a59
14254c15cb72
15143084a509
hexb755f2ea0

49213812384 has 192 divisors, whose sum is σ = 156728234880. Its totient is φ = 14900060160.

The previous prime is 49213812383. The next prime is 49213812391. The reversal of 49213812384 is 48321831294.

49213812384 is a `hidden beast` number, since 49 + 213 + 8 + 12 + 384 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (49213812383) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18978192 + ... + 18980784.

It is an arithmetic number, because the mean of its divisors is an integer number (816292890).

Almost surely, 249213812384 is an apocalyptic number.

49213812384 is a gapful number since it is divisible by the number (44) 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 49213812384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78364117440).

49213812384 is an abundant number, since it is smaller than the sum of its proper divisors (107514422496).

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

49213812384 is a wasteful number, since it uses less digits than its factorization.

49213812384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4620 (or 4606 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The spelling of 49213812384 in words is "forty-nine billion, two hundred thirteen million, eight hundred twelve thousand, three hundred eighty-four".