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64449469161 = 32741121572
BaseRepresentation
bin111100000001011111…
…001101101011101001
320011100121001020222100
4330001133031223221
52023443031003121
645335131444013
74441055310000
oct740137155351
9204317036870
1064449469161
1125373055100
12105a7bb6609
136101520a8c
1431957a7c37
151a231ae026
hexf017cdae9

64449469161 has 135 divisors (see below), whose sum is σ = 120138539703. Its totient is φ = 33266993760.

The previous prime is 64449469153. The next prime is 64449469163. The reversal of 64449469161 is 16196494446.

The square root of 64449469161 is 253869.

It is a perfect power (a square), and thus also a powerful number.

64449469161 is a `hidden beast` number, since 6 + 4 + 4 + 494 + 6 + 91 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 18891128025 + 45558341136 = 137445^2 + 213444^2 .

It is not a de Polignac number, because 64449469161 - 23 = 64449469153 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 64449469098 and 64449469107.

It is not an unprimeable number, because it can be changed into a prime (64449469163) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 410506095 + ... + 410506251.

Almost surely, 264449469161 is an apocalyptic number.

64449469161 is the 253869-th square number.

64449469161 is the 126935-th centered octagonal number.

It is an amenable number.

64449469161 is a deficient number, since it is larger than the sum of its proper divisors (55689070542).

64449469161 is an equidigital number, since it uses as much as digits as its factorization.

64449469161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 178 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The spelling of 64449469161 in words is "sixty-four billion, four hundred forty-nine million, four hundred sixty-nine thousand, one hundred sixty-one".

Divisors: 1 3 7 9 11 21 33 49 63 77 99 121 147 157 231 343 363 441 471 539 693 847 1029 1089 1099 1413 1617 1727 2401 2541 3087 3297 3773 4851 5181 5929 7203 7623 7693 9891 11319 12089 15543 17787 18997 21609 23079 24649 26411 33957 36267 41503 53361 53851 56991 69237 73947 79233 84623 108801 124509 132979 161553 170973 172543 221841 237699 253869 271139 290521 373527 376957 398937 484659 517629 592361 761607 813417 871563 930853 1130871 1196811 1207801 1552887 1777083 1897973 2440251 2614689 2792559 2982529 3392613 3623403 4146527 5331249 5693919 6515971 8377677 8454607 8947587 10870209 12439581 13285811 17081757 19547913 20877703 25363821 26842761 37318743 39857433 45611797 58643739 59182249 62633109 76091463 93000677 119572299 136835391 146143921 177546747 187899327 279002031 410506173 438431763 532640241 651004739 837006093 1023007447 1315295289 1953014217 3069022341 5859042651 7161052129 9207067023 21483156387 64449469161