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49921056000 = 283353193041
BaseRepresentation
bin101110011111100001…
…101101110100000000
311202212002021101211000
4232133201231310000
51304214242243000
634533341252000
73415042655214
oct563741556400
9152762241730
1049921056000
111a198153282
129812564000
1349275bc1ba
1425b8060944
15147299e000
hexb9f86dd00

49921056000 has 576 divisors, whose sum is σ = 193996857600. Its totient is φ = 12607488000.

The previous prime is 49921055983. The next prime is 49921056007. The reversal of 49921056000 is 65012994.

49921056000 is a `hidden beast` number, since 4 + 9 + 92 + 1 + 0 + 560 + 0 + 0 = 666.

49921056000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×499210560002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49921056007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16414480 + ... + 16417520.

It is an arithmetic number, because the mean of its divisors is an integer number (336800100).

Almost surely, 249921056000 is an apocalyptic number.

49921056000 is a gapful number since it is divisible by the number (40) 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 49921056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96998428800).

49921056000 is an abundant number, since it is smaller than the sum of its proper divisors (144075801600).

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

49921056000 is a wasteful number, since it uses less digits than its factorization.

49921056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3100 (or 3070 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

Adding to 49921056000 its reverse (65012994), we get a palindrome (49986068994).

The spelling of 49921056000 in words is "forty-nine billion, nine hundred twenty-one million, fifty-six thousand".