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29568450681 = 36721126841
BaseRepresentation
bin11011100010011010…
…101100000001111001
32211022200020221000000
4123202122230001321
5441024010410211
621330014303213
72064506453400
oct334232540171
984280227000
1029568450681
11115a368a700
1258924b7b09
132a32b58583
141606dd0637
15b80cd2656
hex6e26ac079

29568450681 has 126 divisors (see below), whose sum is σ = 56693037786. Its totient is φ = 15357988800.

The previous prime is 29568450677. The next prime is 29568450767. The reversal of 29568450681 is 18605486592.

29568450681 is a `hidden beast` number, since 2 + 9 + 56 + 8 + 4 + 506 + 81 = 666.

It can be written as a sum of positive squares in only one way, i.e., 27662342400 + 1906108281 = 166320^2 + 43659^2 .

It is not a de Polignac number, because 29568450681 - 22 = 29568450677 is a prime.

It is a super-2 number, since 2×295684506812 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (29568450631) 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 125 ways as a sum of consecutive naturals, for example, 4318821 + ... + 4325661.

Almost surely, 229568450681 is an apocalyptic number.

29568450681 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

29568450681 is a deficient number, since it is larger than the sum of its proper divisors (27124587105).

29568450681 is an equidigital number, since it uses as much as digits as its factorization.

29568450681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6895 (or 6862 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

It can be divided in two parts, 29568 and 450681, that added together give a square (480249 = 6932).

The spelling of 29568450681 in words is "twenty-nine billion, five hundred sixty-eight million, four hundred fifty thousand, six hundred eighty-one".

Divisors: 1 3 7 9 11 21 27 33 49 63 77 81 99 121 147 189 231 243 297 363 441 539 567 693 729 847 891 1089 1323 1617 1701 2079 2541 2673 3267 3969 4851 5103 5929 6237 6841 7623 8019 9801 11907 14553 17787 18711 20523 22869 29403 35721 43659 47887 53361 56133 61569 68607 75251 88209 130977 143661 160083 184707 205821 225753 335209 392931 430983 480249 526757 554121 617463 677259 827761 1005627 1292949 1440747 1580271 1662363 2031777 2483283 3016881 3687299 3878847 4322241 4740813 4987089 5794327 6095331 7449849 9050643 11061897 11636541 14222439 17382981 18285993 22349547 27151929 33185691 34909623 40560289 42667317 52148943 54857979 67048641 81455787 99557073 121680867 128001951 156446829 201145923 244367361 298671219 365042601 384005853 469340487 603437769 896013657 1095127803 1408021461 2688040971 3285383409 4224064383 9856150227 29568450681