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49206449280 = 2735193793559
BaseRepresentation
bin101101110100111011…
…101101010010000000
311201000021121121200110
4231310323231102000
51301233322334110
634334412551320
73361244626542
oct556473552200
9151007547613
1049206449280
111996083770a
129653182540
1348425374a1
14254b1a3692
15142ed93a20
hexb74eed480

49206449280 has 256 divisors, whose sum is σ = 165582720000. Its totient is φ = 12394819584.

The previous prime is 49206449189. The next prime is 49206449287. The reversal of 49206449280 is 8294460294.

49206449280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (49206449287) 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, 13824141 + ... + 13827699.

It is an arithmetic number, because the mean of its divisors is an integer number (646807500).

Almost surely, 249206449280 is an apocalyptic number.

49206449280 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 49206449280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82791360000).

49206449280 is an abundant number, since it is smaller than the sum of its proper divisors (116376270720).

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

49206449280 is a wasteful number, since it uses less digits than its factorization.

49206449280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3979 (or 3967 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 49206449280 in words is "forty-nine billion, two hundred six million, four hundred forty-nine thousand, two hundred eighty".