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49717914048 = 2634111814817
BaseRepresentation
bin101110010011011010…
…110010100111000000
311202022221000201110000
4232103122302213000
51303310241222143
634501243240000
73410025203505
oct562332624700
9152287021400
1049717914048
111a0a3514770
129776519000
1348c44a4a6a
1425990a14ac
15145ec23bd3
hexb936b29c0

49717914048 has 280 divisors, whose sum is σ = 161699441904. Its totient is φ = 14979686400.

The previous prime is 49717914047. The next prime is 49717914067. The reversal of 49717914048 is 84041971794.

49717914048 is a `hidden beast` number, since 497 + 1 + 7 + 9 + 140 + 4 + 8 = 666.

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 = 49717913985 and 49717914003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49717914047) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 10318936 + ... + 10323752.

Almost surely, 249717914048 is an apocalyptic number.

49717914048 is a gapful number since it is divisible by the number (48) 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 49717914048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80849720952).

49717914048 is an abundant number, since it is smaller than the sum of its proper divisors (111981527856).

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

49717914048 is a wasteful number, since it uses less digits than its factorization.

49717914048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5033 (or 5014 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 49717914048 in words is "forty-nine billion, seven hundred seventeen million, nine hundred fourteen thousand, forty-eight".