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152953221165 = 35194373170971
BaseRepresentation
bin1000111001110010111…
…0001111000000101101
3112121210120110200201020
42032130232033000231
510001222011034130
6154133222204353
714023215633333
oct2163456170055
9477716420636
10152953221165
115995a1189a8
12257878836b9
13115673657c4
14758da9bb53
153ea2ed2e10
hex239cb8f02d

152953221165 has 64 divisors (see below), whose sum is σ = 267208719360. Its totient is φ = 74449912320.

The previous prime is 152953221139. The next prime is 152953221167. The reversal of 152953221165 is 561122359251.

152953221165 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 152953221165 - 26 = 152953221101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152953221167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 809130 + ... + 980100.

It is an arithmetic number, because the mean of its divisors is an integer number (4175136240).

Almost surely, 2152953221165 is an apocalyptic number.

152953221165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

152953221165 is a deficient number, since it is larger than the sum of its proper divisors (114255498195).

152953221165 is a wasteful number, since it uses less digits than its factorization.

152953221165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171114.

The product of its digits is 162000, while the sum is 42.

The spelling of 152953221165 in words is "one hundred fifty-two billion, nine hundred fifty-three million, two hundred twenty-one thousand, one hundred sixty-five".

Divisors: 1 3 5 15 19 43 57 73 95 129 215 219 285 365 645 817 1095 1387 2451 3139 4085 4161 6935 9417 12255 15695 20805 47085 59641 170971 178923 298205 512913 854855 894615 2564565 3248449 7351753 9745347 12480883 16242245 22055259 36758765 37442649 48726735 62404415 110276295 139683307 187213245 237136777 419049921 536677969 698416535 711410331 1185683885 1610033907 2095249605 2683389845 3557051655 8050169535 10196881411 30590644233 50984407055 152953221165