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22772469132821 = 172770148357713
BaseRepresentation
bin1010010110110001000001…
…11011101110111000010101
32222122000201112021010201002
411023120200323232320111
510441101004044222241
6120233310005313045
74540154004562052
oct513304073567025
988560645233632
1022772469132821
11728a82816a621
122679559a05785
13c92585b42205
1458a29c922029
1529756e1ab89b
hex14b620eeee15

22772469132821 has 8 divisors (see below), whose sum is σ = 24112897078104. Its totient is φ = 21432137958400.

The previous prime is 22772469132797. The next prime is 22772469132839. The reversal of 22772469132821 is 12823196427722.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6399812146225 + 16372656986596 = 2529785^2 + 4046314^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 22772469132821 - 26 = 22772469132757 is a prime.

It is a super-3 number, since 3×227724691328213 (a number of 41 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22772469132521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23707940 + ... + 24649773.

It is an arithmetic number, because the mean of its divisors is an integer number (3014112134763).

Almost surely, 222772469132821 is an apocalyptic number.

It is an amenable number.

22772469132821 is a deficient number, since it is larger than the sum of its proper divisors (1340427945283).

22772469132821 is a wasteful number, since it uses less digits than its factorization.

22772469132821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48385431.

The product of its digits is 8128512, while the sum is 56.

The spelling of 22772469132821 in words is "twenty-two trillion, seven hundred seventy-two billion, four hundred sixty-nine million, one hundred thirty-two thousand, eight hundred twenty-one".

Divisors: 1 17 27701 470917 48357713 822081121 1339557007813 22772469132821