Search a number
-
+
13542354350 = 252739479803
BaseRepresentation
bin11001001110010111…
…11110110110101110
31021221210022212202122
430213023332312232
5210213320314400
610115443352542
7656410053440
oct144713766656
937853285678
1013542354350
11581a340298
12275b382752
13137a866135
149267c8490
15543d84685
hex3272fedae

13542354350 has 48 divisors (see below), whose sum is σ = 28797406848. Its totient is φ = 4641443040.

The previous prime is 13542354323. The next prime is 13542354359. The reversal of 13542354350 is 5345324531.

It is a happy number.

It is a super-2 number, since 2×135423543502 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13542354350.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13542354359) 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, 1376549 + ... + 1386351.

It is an arithmetic number, because the mean of its divisors is an integer number (599945976).

Almost surely, 213542354350 is an apocalyptic number.

13542354350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13542354350 is an abundant number, since it is smaller than the sum of its proper divisors (15255052498).

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

13542354350 is a wasteful number, since it uses less digits than its factorization.

13542354350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13769 (or 13764 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 35.

Adding to 13542354350 its reverse (5345324531), we get a palindrome (18887678881).

The spelling of 13542354350 in words is "thirteen billion, five hundred forty-two million, three hundred fifty-four thousand, three hundred fifty".

Divisors: 1 2 5 7 10 14 25 35 50 70 175 350 3947 7894 9803 19606 19735 27629 39470 49015 55258 68621 98030 98675 137242 138145 197350 245075 276290 343105 490150 686210 690725 1381450 1715525 3431050 38692441 77384882 193462205 270847087 386924410 541694174 967311025 1354235435 1934622050 2708470870 6771177175 13542354350