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22483968120576 = 283237925748461
BaseRepresentation
bin1010001110010111101001…
…11011101101011100000000
32221121110001101201012201100
411013023310323231130000
510421334131314324301
6115452554203334400
74510261455462144
oct507136473553400
987543041635640
1022483968120576
117189440936a96
122631663521400
13c712c942a391
1457a330a61224
1528ecd62a5286
hex1472f4eed700

22483968120576 has 108 divisors (see below), whose sum is σ = 64997872565080. Its totient is φ = 7474880931840.

The previous prime is 22483968120571. The next prime is 22483968120623. The reversal of 22483968120576 is 67502186938422.

22483968120576 is a `hidden beast` number, since 2 + 2 + 4 + 8 + 39 + 6 + 8 + 1 + 20 + 576 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22483968120571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12001015 + ... + 13747446.

It is a 1-persistent number, because it is pandigital, but 2⋅22483968120576 = 44967936241152 is not.

Almost surely, 222483968120576 is an apocalyptic number.

It is an amenable number.

22483968120576 is an abundant number, since it is smaller than the sum of its proper divisors (42513904444504).

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

22483968120576 is a wasteful number, since it uses less digits than its factorization.

22483968120576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25748862 (or 25748845 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 22483968120576 in words is "twenty-two trillion, four hundred eighty-three billion, nine hundred sixty-eight million, one hundred twenty thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 379 384 576 758 768 1137 1152 1516 2274 2304 3032 3411 4548 6064 6822 9096 12128 13644 18192 24256 27288 36384 48512 54576 72768 97024 109152 145536 218304 291072 436608 873216 25748461 51496922 77245383 102993844 154490766 205987688 231736149 308981532 411975376 463472298 617963064 823950752 926944596 1235926128 1647901504 1853889192 2471852256 3295803008 3707778384 4943704512 6591606016 7415556768 9758666719 9887409024 14831113536 19517333438 19774818048 29276000157 29662227072 39034666876 58552000314 59324454144 78069333752 87828000471 117104000628 156138667504 175656000942 234208001256 312277335008 351312001884 468416002512 624554670016 702624003768 936832005024 1249109340032 1405248007536 1873664010048 2498218680064 2810496015072 3747328020096 5620992030144 7494656040192 11241984060288 22483968120576