Search a number
-
+
21223699279872 = 212317535932491
BaseRepresentation
bin1001101001101100001110…
…00011100111000000000000
32210010222002002112202212120
410310312013003213000000
510240212114003423442
6113050011032324240
74320235024206225
oct464660703470000
983128062482776
1021223699279872
116842a13a40941
122469365b43680
13bac5037a726b
145353380a194c
1526c1254604ec
hex134d870e7000

21223699279872 has 416 divisors, whose sum is σ = 62085599228160. Its totient is φ = 6421862154240.

The previous prime is 21223699279759. The next prime is 21223699279873. The reversal of 21223699279872 is 27897299632212.

It is a super-2 number, since 2×212236992798722 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21223699279797 and 21223699279806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21223699279873) 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, 653201547 + ... + 653234037.

Almost surely, 221223699279872 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 21223699279872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31042799614080).

21223699279872 is an abundant number, since it is smaller than the sum of its proper divisors (40861899948288).

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

21223699279872 is a wasteful number, since it uses less digits than its factorization.

21223699279872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32647 (or 32625 counting only the distinct ones).

The product of its digits is 164602368, while the sum is 69.

The spelling of 21223699279872 in words is "twenty-one trillion, two hundred twenty-three billion, six hundred ninety-nine million, two hundred seventy-nine thousand, eight hundred seventy-two".