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46981278656 = 26133761127197
BaseRepresentation
bin101011110000010011…
…010110101111000000
311111021012120020102122
4223300103112233000
51232204201404111
633325523503412
73252145164614
oct536023265700
9144235506378
1046981278656
1118a19786024
129131b27b68
134579532090
1423b9853344
15134e853cdb
hexaf04d6bc0

46981278656 has 224 divisors, whose sum is σ = 106165204992. Its totient is φ = 20483850240.

The previous prime is 46981278653. The next prime is 46981278661. The reversal of 46981278656 is 65687218964.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46981278653) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 238483550 + ... + 238483746.

It is an arithmetic number, because the mean of its divisors is an integer number (473951808).

Almost surely, 246981278656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46981278656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53082602496).

46981278656 is an abundant number, since it is smaller than the sum of its proper divisors (59183926336).

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

46981278656 is a wasteful number, since it uses less digits than its factorization.

46981278656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 437 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 62.

The spelling of 46981278656 in words is "forty-six billion, nine hundred eighty-one million, two hundred seventy-eight thousand, six hundred fifty-six".