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49425451568064 = 2632111347103123953
BaseRepresentation
bin10110011110011110000100…
…11110111100101111000000
320111000000201200220211101200
423033033002132330233000
522434241311100134224
6253041423342301200
713260604523344335
oct1317170236745700
9214000650824350
1049425451568064
1114826241989370
125662b97887800
132176a52a27620
14c2c2c169698c
155aaa094625c9
hex2cf3c27bcbc0

49425451568064 has 672 divisors, whose sum is σ = 171629318375424. Its totient is φ = 13399667343360.

The previous prime is 49425451568029. The next prime is 49425451568081. The reversal of 49425451568064 is 46086515452494.

49425451568064 is a `hidden beast` number, since 4 + 9 + 4 + 2 + 5 + 4 + 5 + 1 + 568 + 0 + 64 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 49425451567992 and 49425451568010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 398681512 + ... + 398805464.

It is an arithmetic number, because the mean of its divisors is an integer number (255400771392).

Almost surely, 249425451568064 is an apocalyptic number.

49425451568064 is a gapful number since it is divisible by the number (44) 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 49425451568064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85814659187712).

49425451568064 is an abundant number, since it is smaller than the sum of its proper divisors (122203866807360).

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

49425451568064 is a wasteful number, since it uses less digits than its factorization.

49425451568064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124145 (or 124132 counting only the distinct ones).

The product of its (nonzero) digits is 165888000, while the sum is 63.

The spelling of 49425451568064 in words is "forty-nine trillion, four hundred twenty-five billion, four hundred fifty-one million, five hundred sixty-eight thousand, sixty-four".