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22731506811048 = 23372112696413719
BaseRepresentation
bin1010010101100100101110…
…11000111000000010101000
32222111002222210102120220110
411022302113120320002220
510434413111220423143
6120202413212454320
74534203633565320
oct512622730700250
988432883376813
1022731506811048
117274417a92a32
12267162777a3a0
13c8b7585b55a9
145882d4614280
15296472e87533
hex14ac976380a8

22731506811048 has 256 divisors, whose sum is σ = 65617371648000. Its totient is φ = 6428130508800.

The previous prime is 22731506811043. The next prime is 22731506811127. The reversal of 22731506811048 is 84011860513722.

It is a Cunningham number, because it is equal to 47677572-1.

It is a super-2 number, since 2×227315068110482 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22731506810988 and 22731506811006.

It is not an unprimeable number, because it can be changed into a prime (22731506811043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6112261333 + ... + 6112265051.

It is an arithmetic number, because the mean of its divisors is an integer number (256317858000).

Almost surely, 222731506811048 is an apocalyptic number.

22731506811048 is a gapful number since it is divisible by the number (28) 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 22731506811048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32808685824000).

22731506811048 is an abundant number, since it is smaller than the sum of its proper divisors (42885864836952).

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

22731506811048 is a wasteful number, since it uses less digits than its factorization.

22731506811048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4856 (or 4852 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

The spelling of 22731506811048 in words is "twenty-two trillion, seven hundred thirty-one billion, five hundred six million, eight hundred eleven thousand, forty-eight".