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22664095129872 = 2433728283264991
BaseRepresentation
bin1010010011100111001010…
…10101101110000100010000
32222020122222202110100222000
411021303211111232010100
510432312031323123442
6120111424102314000
74526266256005560
oct511634525560420
988218882410860
1022664095129872
117248874938129
122660553728900
13c852a4481051
14584d3b67cda0
15294829bead4c
hex149ce556e110

22664095129872 has 160 divisors (see below), whose sum is σ = 74350734581760. Its totient is φ = 6475202363520.

The previous prime is 22664095129849. The next prime is 22664095129877. The reversal of 22664095129872 is 27892159046622.

22664095129872 is a `hidden beast` number, since 2 + 2 + 6 + 6 + 40 + 9 + 512 + 9 + 8 + 72 = 666.

It is a super-2 number, since 2×226640951298722 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (22664095129877) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85395297 + ... + 85660287.

It is an arithmetic number, because the mean of its divisors is an integer number (464692091136).

Almost surely, 222664095129872 is an apocalyptic number.

It is an amenable number.

22664095129872 is an abundant number, since it is smaller than the sum of its proper divisors (51686639451888).

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

22664095129872 is a wasteful number, since it uses less digits than its factorization.

22664095129872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293298 (or 293286 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 22664095129872 in words is "twenty-two trillion, six hundred sixty-four billion, ninety-five million, one hundred twenty-nine thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 28283 56566 84849 113132 169698 197981 226264 254547 264991 339396 395962 452528 509094 529982 593943 678792 763641 791924 794973 1018188 1059964 1187886 1357584 1527282 1583848 1589946 1781829 1854937 2036376 2119928 2375772 2384919 3054564 3167696 3179892 3563658 3709874 4072752 4239856 4751544 4769838 5345487 5564811 6109128 6359784 7127316 7154757 7419748 9503088 9539676 10690974 11129622 12218256 12719568 14254632 14309514 14839496 16694433 19079352 21381948 22259244 28509264 28619028 29678992 33388866 38158704 42763896 44518488 50083299 57238056 66777732 85527792 89036976 100166598 114476112 133555464 200333196 267110928 400666392 801332784 7494740453 14989480906 22484221359 29978961812 44968442718 52463183171 59957923624 67452664077 89936885436 104926366342 119915847248 134905328154 157389549513 179873770872 202357992231 209852732684 269810656308 314779099026 359747541744 404715984462 419705465368 472168648539 539621312616 629558198052 809431968924 839410930736 944337297078 1079242625232 1259116396104 1416505945617 1618863937848 1888674594156 2518232792208 2833011891234 3237727875696 3777349188312 5666023782468 7554698376624 11332047564936 22664095129872