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155253312432153 = 321313751893186649
BaseRepresentation
bin100011010011001110111010…
…100010011010100000011001
3202100201001221021121202122100
4203103032322202122200121
5130322132240440312103
61310110215341114013
744462452545520065
oct4323167242324031
9670631837552570
10155253312432153
1145517618471301
12154b5170258909
13688242b034c90
142a4a42c4a8aa5
1512e37656765a3
hex8d33ba89a819

155253312432153 has 48 divisors (see below), whose sum is σ = 243273955251600. Its totient is φ = 94840788252672.

The previous prime is 155253312432107. The next prime is 155253312432161. The reversal of 155253312432153 is 351234213352551.

It is a happy number.

155253312432153 is a `hidden beast` number, since 1 + 5 + 5 + 2 + 5 + 3 + 312 + 4 + 321 + 5 + 3 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 80748610569 + 155172563821584 = 284163^2 + 12456828^2 .

It is not a de Polignac number, because 155253312432153 - 26 = 155253312432089 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 155253312432099 and 155253312432108.

It is not an unprimeable number, because it can be changed into a prime (155253312434153) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 831699573 + ... + 831886221.

It is an arithmetic number, because the mean of its divisors is an integer number (5068207401075).

Almost surely, 2155253312432153 is an apocalyptic number.

155253312432153 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

155253312432153 is a deficient number, since it is larger than the sum of its proper divisors (88020642819447).

155253312432153 is a wasteful number, since it uses less digits than its factorization.

155253312432153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238698 (or 238695 counting only the distinct ones).

The product of its digits is 1620000, while the sum is 45.

The spelling of 155253312432153 in words is "one hundred fifty-five trillion, two hundred fifty-three billion, three hundred twelve million, four hundred thirty-two thousand, one hundred fifty-three".

Divisors: 1 3 9 13 39 117 137 411 1233 1781 5343 16029 51893 155679 186649 467037 559947 674609 1679841 2023827 2426437 6071481 7109341 7279311 21328023 21837933 25570913 63984069 76712739 92421433 230138217 277264299 332421869 831792897 997265607 2991796821 9685776557 29057329671 87171989013 125915095241 377745285723 1133235857169 1326951388309 3980854164927 11942562494781 17250368048017 51751104144051 155253312432153