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22149948447 = 3311276726953
BaseRepresentation
bin10100101000001111…
…010110010000011111
32010011200000222002000
4110220033112100133
5330330341322242
614101530133343
71412616312114
oct245017262037
963150028060
1022149948447
119437083120
124361b81253
13211cc33593
141101a5490b
1589989ca4c
hex5283d641f

22149948447 has 32 divisors (see below), whose sum is σ = 35812162560. Its totient is φ = 13418861760.

The previous prime is 22149948439. The next prime is 22149948481. The reversal of 22149948447 is 74484994122.

22149948447 is a `hidden beast` number, since 22 + 14 + 99 + 484 + 47 = 666.

It is not a de Polignac number, because 22149948447 - 23 = 22149948439 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22149948393 and 22149948402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22149948047) 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, 808323 + ... + 835275.

It is an arithmetic number, because the mean of its divisors is an integer number (1119130080).

Almost surely, 222149948447 is an apocalyptic number.

22149948447 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

22149948447 is a deficient number, since it is larger than the sum of its proper divisors (13662214113).

22149948447 is a wasteful number, since it uses less digits than its factorization.

22149948447 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29740 (or 29734 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 22149948447 in words is "twenty-two billion, one hundred forty-nine million, nine hundred forty-eight thousand, four hundred forty-seven".

Divisors: 1 3 9 11 27 33 99 297 2767 8301 24903 26953 30437 74709 80859 91311 242577 273933 296483 727731 821799 889449 2668347 8005041 74578951 223736853 671210559 820368461 2013631677 2461105383 7383316149 22149948447