Search a number
-
+
22816401654189 = 31113197473357041
BaseRepresentation
bin1010011000000010110111…
…00001000000000110101101
32222210020010021001110101010
411030001123201000012231
510442310442310413224
6120305413223535433
74543300463053533
oct514013341000655
988706107043333
1022816401654189
1172a7421a03120
122685b7a8ba579
13c9676784b1a0
1458c4694ba153
15298791039e29
hex14c05b8401ad

22816401654189 has 64 divisors (see below), whose sum is σ = 35930020186368. Its totient is φ = 12696720691200.

The previous prime is 22816401654181. The next prime is 22816401654223. The reversal of 22816401654189 is 98145610461822.

It is not a de Polignac number, because 22816401654189 - 23 = 22816401654181 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22816401654181) 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 63 ways as a sum of consecutive naturals, for example, 399971509 + ... + 400028549.

It is an arithmetic number, because the mean of its divisors is an integer number (561406565412).

Almost surely, 222816401654189 is an apocalyptic number.

It is an amenable number.

22816401654189 is a deficient number, since it is larger than the sum of its proper divisors (13113618532179).

22816401654189 is a wasteful number, since it uses less digits than its factorization.

22816401654189 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61998.

The product of its (nonzero) digits is 6635520, while the sum is 57.

The spelling of 22816401654189 in words is "twenty-two trillion, eight hundred sixteen billion, four hundred one million, six hundred fifty-four thousand, one hundred eighty-nine".

Divisors: 1 3 11 13 33 39 143 197 429 591 2167 2561 4733 6501 7683 14199 28171 52063 57041 61529 84513 156189 171123 184587 627451 676819 741533 932401 1882353 2030457 2224599 2797203 8156863 10256411 11237077 12121213 24470589 30769233 33711231 36363639 123607847 133333343 146082001 269975053 370823541 400000029 438246003 809925159 1606902011 2969725583 3509675689 4820706033 8909176749 10529027067 38606432579 53185085441 115819297737 159555256323 585035939851 691406110733 1755107819553 2074218332199 7605467218063 22816401654189