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49745719296 = 212337134943
BaseRepresentation
bin101110010101000100…
…110111000000000000
311202101212100101002000
4232111010313000000
51303334401004141
634504115224000
73410513431410
oct562504670000
9152355311060
1049745719296
111a108186209
1297838a8000
1348ca18ba80
14259ca5c640
1514623b75b6
hexb95137000

49745719296 has 416 divisors, whose sum is σ = 181423441920. Its totient is φ = 13117095936.

The previous prime is 49745719291. The next prime is 49745719297. The reversal of 49745719296 is 69291754794.

49745719296 is a `hidden beast` number, since 4 + 9 + 7 + 457 + 1 + 92 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (416).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49745719291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10061401 + ... + 10066343.

Almost surely, 249745719296 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 49745719296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90711720960).

49745719296 is an abundant number, since it is smaller than the sum of its proper divisors (131677722624).

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

49745719296 is a wasteful number, since it uses less digits than its factorization.

49745719296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4996 (or 4968 counting only the distinct ones).

The product of its digits is 34292160, while the sum is 63.

The spelling of 49745719296 in words is "forty-nine billion, seven hundred forty-five million, seven hundred nineteen thousand, two hundred ninety-six".