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49395769920 = 263457614463
BaseRepresentation
bin101110000000001101…
…111010001001000000
311201111110212002210000
4232000031322021000
51302130304114140
634405254440000
73366034055010
oct560015721100
9151443762700
1049395769920
1119a48696052
1296a6663000
134872822933
1425683a5c40
1514417dda30
hexb8037a240

49395769920 has 560 divisors, whose sum is σ = 204148505088. Its totient is φ = 11102883840.

The previous prime is 49395769903. The next prime is 49395769921. The reversal of 49395769920 is 2996759394.

49395769920 is a `hidden beast` number, since 4 + 9 + 39 + 576 + 9 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

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 (49395769921) 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 79 ways as a sum of consecutive naturals, for example, 11065609 + ... + 11070071.

Almost surely, 249395769920 is an apocalyptic number.

49395769920 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 49395769920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102074252544).

49395769920 is an abundant number, since it is smaller than the sum of its proper divisors (154752735168).

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

49395769920 is a wasteful number, since it uses less digits than its factorization.

49395769920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4560 (or 4541 counting only the distinct ones).

The product of its (nonzero) digits is 33067440, while the sum is 63.

The spelling of 49395769920 in words is "forty-nine billion, three hundred ninety-five million, seven hundred sixty-nine thousand, nine hundred twenty".