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13254157242 = 23237197101021
BaseRepresentation
bin11000101100000001…
…00110001110111010
31021012201000221122200
430112000212032322
5204121031012432
610031110331030
7646310322564
oct142600461672
937181027580
1013254157242
115691698567
12269a959a76
131332c3b6c1
148da408334
15528907a7c
hex3160263ba

13254157242 has 48 divisors (see below), whose sum is σ = 29643491592. Its totient is φ = 4276782720.

The previous prime is 13254157183. The next prime is 13254157243. The reversal of 13254157242 is 24275145231.

13254157242 is a `hidden beast` number, since 1 + 3 + 2 + 5 + 41 + 572 + 42 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12782789721 + 471367521 = 113061^2 + 21711^2 .

It is a super-2 number, since 2×132541572422 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13254157197 and 13254157206.

It is not an unprimeable number, because it can be changed into a prime (13254157243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80692 + ... + 181712.

Almost surely, 213254157242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13254157242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14821745796).

13254157242 is an abundant number, since it is smaller than the sum of its proper divisors (16389334350).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13254157242 is a wasteful number, since it uses less digits than its factorization.

13254157242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101263 (or 101260 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The spelling of 13254157242 in words is "thirteen billion, two hundred fifty-four million, one hundred fifty-seven thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 37 74 111 197 222 333 394 591 666 1182 1773 3546 7289 14578 21867 43734 65601 101021 131202 202042 303063 606126 909189 1818378 3737777 7475554 11213331 19901137 22426662 33639993 39802274 59703411 67279986 119406822 179110233 358220466 736342069 1472684138 2209026207 4418052414 6627078621 13254157242