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4224273377364 = 22331914913816193
BaseRepresentation
bin111101011110001010010…
…100000110100001010100
3112221211120212121201101000
4331132022110012201110
51023202302441033424
612552334314503300
7614123301156135
oct75361224064124
915854525551330
104224273377364
111389560216517
12582838734b30
13248468c500a1
1410865509dc8c
1574d3a4213c9
hex3d78a506854

4224273377364 has 96 divisors (see below), whose sum is σ = 11605602960000. Its totient is φ = 1325028077568.

The previous prime is 4224273377353. The next prime is 4224273377377. The reversal of 4224273377364 is 4637733724224.

4224273377364 is a `hidden beast` number, since 4 + 2 + 2 + 4 + 273 + 3 + 7 + 7 + 364 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 4224273377364.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 6602349 + ... + 7213844.

It is an arithmetic number, because the mean of its divisors is an integer number (120891697500).

Almost surely, 24224273377364 is an apocalyptic number.

It is an amenable number.

4224273377364 is an abundant number, since it is smaller than the sum of its proper divisors (7381329582636).

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

4224273377364 is a wasteful number, since it uses less digits than its factorization.

4224273377364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13816374 (or 13816366 counting only the distinct ones).

The product of its digits is 28449792, while the sum is 54.

The spelling of 4224273377364 in words is "four trillion, two hundred twenty-four billion, two hundred seventy-three million, three hundred seventy-seven thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 149 171 228 298 342 447 513 596 684 894 1026 1341 1788 2052 2682 2831 4023 5364 5662 8046 8493 11324 16092 16986 25479 33972 50958 76437 101916 152874 305748 13816193 27632386 41448579 55264772 82897158 124345737 165794316 248691474 262507667 373037211 497382948 525015334 746074422 787523001 1050030668 1492148844 1575046002 2058612757 2362569003 3150092004 4117225514 4725138006 6175838271 7087707009 8234451028 9450276012 12351676542 14175414018 18527514813 24703353084 28350828036 37055029626 39113642383 55582544439 74110059252 78227284766 111165088878 117340927149 156454569532 222330177756 234681854298 352022781447 469363708596 704045562894 1056068344341 1408091125788 2112136688682 4224273377364