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49134131280 = 24335134873593
BaseRepresentation
bin101101110000100111…
…110101100001010000
311200211020112111001000
4231300213311201100
51301111314200110
634323310542000
73356406140103
oct556047654120
9150736474030
1049134131280
1119923a33073
129632b07900
134830566880
14254173a73a
15142885b1c0
hexb709f5850

49134131280 has 320 divisors, whose sum is σ = 182683307520. Its totient is φ = 12066361344.

The previous prime is 49134131279. The next prime is 49134131297. The reversal of 49134131280 is 8213143194.

49134131280 is a `hidden beast` number, since 4 + 9 + 1 + 341 + 31 + 280 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 13673164 + ... + 13676756.

It is an arithmetic number, because the mean of its divisors is an integer number (570885336).

Almost surely, 249134131280 is an apocalyptic number.

49134131280 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 49134131280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91341653760).

49134131280 is an abundant number, since it is smaller than the sum of its proper divisors (133549176240).

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

49134131280 is a wasteful number, since it uses less digits than its factorization.

49134131280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4115 (or 4103 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 49134131280 in words is "forty-nine billion, one hundred thirty-four million, one hundred thirty-one thousand, two hundred eighty".