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22056452601064 = 23722271409175919
BaseRepresentation
bin1010000001111011010110…
…00001011011010011101000
32220002120120002211121212021
411000331223001123103220
510342333103331213224
6114524332222154224
74434345312512500
oct500755301332350
986076502747767
1022056452601064
1170340a8534622
122582831422974
13c3cbb738145b
145637763c4a00
15283b13e451e4
hex140f6b05b4e8

22056452601064 has 96 divisors (see below), whose sum is σ = 48354321168000. Its totient is φ = 9404390510592.

The previous prime is 22056452601037. The next prime is 22056452601089. The reversal of 22056452601064 is 46010625465022.

It is a happy number.

It is a super-2 number, since 2×220564526010642 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22056452601064.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125290497 + ... + 125466415.

It is an arithmetic number, because the mean of its divisors is an integer number (503690845500).

Almost surely, 222056452601064 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 22056452601064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24177160584000).

22056452601064 is an abundant number, since it is smaller than the sum of its proper divisors (26297868566936).

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

22056452601064 is a wasteful number, since it uses less digits than its factorization.

22056452601064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177575 (or 177564 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 43.

The spelling of 22056452601064 in words is "twenty-two trillion, fifty-six billion, four hundred fifty-two million, six hundred one thousand, sixty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 227 392 454 908 1409 1589 1816 2818 3178 5636 6356 9863 11123 11272 12712 19726 22246 39452 44492 69041 78904 88984 138082 175919 276164 319843 351838 552328 639686 703676 1231433 1279372 1407352 2238901 2462866 2558744 4477802 4925732 8620031 8955604 9851464 15672307 17240062 17911208 31344614 34480124 39933613 62689228 68960248 79867226 125378456 159734452 247869871 279535291 319468904 495739742 559070582 991479484 1118141164 1735089097 1956747037 1982958968 2236282328 3470178194 3913494074 6940356388 7826988148 12145623679 13880712776 15653976296 24291247358 48582494716 56266460717 97164989432 112532921434 225065842868 393865225019 450131685736 787730450038 1575460900076 2757056575133 3150921800152 5514113150266 11028226300532 22056452601064