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95023611081 = 36742332
BaseRepresentation
bin101100001111111011…
…0010011110011001001
3100002021100200121000000
41120133312103303021
53024102021023311
6111353033433213
76602526240000
oct1303766236311
9302240617000
1095023611081
1137332395493
12164bb26b809
138c64829b09
144856187c37
1527123e9056
hex161fd93cc9

95023611081 has 105 divisors (see below), whose sum is σ = 166921782839. Its totient is φ = 54066162528.

The previous prime is 95023611029. The next prime is 95023611113. The reversal of 95023611081 is 18011632059.

The square root of 95023611081 is 308259.

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

95023611081 is a `hidden beast` number, since 9 + 502 + 3 + 61 + 10 + 81 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19297377225 + 75726233856 = 138915^2 + 275184^2 .

It is not a de Polignac number, because 95023611081 - 221 = 95021513929 is a prime.

It is a super-3 number, since 3×950236110813 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (95021611081) by changing a digit.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 407826541 + ... + 407826773.

Almost surely, 295023611081 is an apocalyptic number.

95023611081 is the 308259-th square number.

95023611081 is the 154130-th centered octagonal number.

It is an amenable number.

95023611081 is a deficient number, since it is larger than the sum of its proper divisors (71898171758).

95023611081 is an frugal number, since it uses more digits than its factorization.

95023611081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

Multiplying 95023611081 by its sum of digits (36), we get a square (3420849998916 = 18495542).

The spelling of 95023611081 in words is "ninety-five billion, twenty-three million, six hundred eleven thousand, eighty-one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 233 243 343 441 567 699 729 1029 1323 1631 1701 2097 2401 3087 3969 4893 5103 6291 7203 9261 11417 11907 14679 18873 21609 27783 34251 35721 44037 54289 56619 64827 79919 83349 102753 132111 162867 169857 194481 239757 250047 308259 380023 396333 488601 559433 583443 719271 924777 1140069 1188999 1465803 1678299 1750329 2157813 2660161 2774331 3420207 4397409 5034897 6473439 7980483 8322993 10260621 13192227 15104691 18621127 19420317 23941449 30781863 39576681 45314073 55863381 58260951 71824347 92345589 130347889 135942219 167590143 215473041 277036767 391043667 407826657 502770429 646419123 1173131001 1508311287 1939257369 3519393003 4524933861 10558179009 13574801583 31674537027 95023611081