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28626158476752 = 243312659941701
BaseRepresentation
bin1101000001001000011000…
…00000011101110111010000
310202100122010012111021011120
412200210030000131313100
512223002333032224002
6140514401535242240
76013112615204604
oct640441400356720
9122318105437146
1028626158476752
1191373161a55a1
123263b36679380
1312c85870850b5
1470d728d29504
153499733c3cbc
hex1a090c01ddd0

28626158476752 has 120 divisors (see below), whose sum is σ = 76529409438240. Its totient is φ = 9220222368000.

The previous prime is 28626158476733. The next prime is 28626158476753. The reversal of 28626158476752 is 25767485162682.

It is a super-2 number, since 2×286261584767522 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28626158476753) 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 23 ways as a sum of consecutive naturals, for example, 29927502 + ... + 30869202.

It is an arithmetic number, because the mean of its divisors is an integer number (637745078652).

Almost surely, 228626158476752 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 28626158476752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38264704719120).

28626158476752 is an abundant number, since it is smaller than the sum of its proper divisors (47903250961488).

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

28626158476752 is a wasteful number, since it uses less digits than its factorization.

28626158476752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942433 (or 942396 counting only the distinct ones).

The product of its digits is 541900800, while the sum is 69.

The spelling of 28626158476752 in words is "twenty-eight trillion, six hundred twenty-six billion, one hundred fifty-eight million, four hundred seventy-six thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 659 744 961 1318 1488 1922 1977 2636 2883 3844 3954 5272 5766 7688 7908 10544 11532 15376 15816 20429 23064 31632 40858 46128 61287 81716 122574 163432 245148 326864 490296 633299 941701 980592 1266598 1883402 1899897 2533196 2825103 3766804 3799794 5066392 5650206 7533608 7599588 10132784 11300412 15067216 15199176 22600824 29192731 30398352 45201648 58385462 87578193 116770924 175156386 233541848 350312772 467083696 620580959 700625544 904974661 1241161918 1401251088 1809949322 1861742877 2482323836 2714923983 3619898644 3723485754 4964647672 5429847966 7239797288 7446971508 9929295344 10859695932 14479594576 14893943016 19238009729 21719391864 29787886032 38476019458 43438783728 57714029187 76952038916 115428058374 153904077832 230856116748 307808155664 461712233496 596378301599 923424466992 1192756603198 1789134904797 2385513206396 3578269809594 4771026412792 7156539619188 9542052825584 14313079238376 28626158476752