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49241714580960 = 25351126341984631
BaseRepresentation
bin10110011001000111110101…
…11001111101110111100000
320110100110110202100210120020
423030203322321331313200
522423234012413042320
6252421155325113440
713241411406621156
oct1314437271756740
9213313422323506
1049241714580960
11147653261744a0
12563345a6b8880
132162620b0c105
14c2345144d3d6
155a5d53b38940
hex2cc8fae7dde0

49241714580960 has 384 divisors, whose sum is σ = 170263226327040. Its totient is φ = 11863474022400.

The previous prime is 49241714580959. The next prime is 49241714581093. The reversal of 49241714580960 is 6908541714294.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 49241714580894 and 49241714580903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 581797845 + ... + 581882475.

It is an arithmetic number, because the mean of its divisors is an integer number (443393818560).

Almost surely, 249241714580960 is an apocalyptic number.

49241714580960 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 49241714580960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85131613163520).

49241714580960 is an abundant number, since it is smaller than the sum of its proper divisors (121021511746080).

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

49241714580960 is a wasteful number, since it uses less digits than its factorization.

49241714580960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85342 (or 85334 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 60.

The spelling of 49241714580960 in words is "forty-nine trillion, two hundred forty-one billion, seven hundred fourteen million, five hundred eighty thousand, nine hundred sixty".