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13542134502 = 23131034913433
BaseRepresentation
bin11001001110010110…
…01001001011100110
31021221202220201012010
430213023021023212
5210213241301002
610115434535050
7656405146461
oct144713111346
937852821163
1013542134502
11581a2000a6
12275b297486
13137a7ba050
1492676c2d8
15543d3e46c
hex3272c92e6

13542134502 has 64 divisors (see below), whose sum is σ = 29519433216. Its totient is φ = 4116752640.

The previous prime is 13542134497. The next prime is 13542134503. The reversal of 13542134502 is 20543124531.

13542134502 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13542134502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13542134503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3942978 + ... + 3946410.

It is an arithmetic number, because the mean of its divisors is an integer number (461241144).

Almost surely, 213542134502 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13542134502, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14759716608).

13542134502 is an abundant number, since it is smaller than the sum of its proper divisors (15977298714).

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

13542134502 is a wasteful number, since it uses less digits than its factorization.

13542134502 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4045.

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 13542134502 in words is "thirteen billion, five hundred forty-two million, one hundred thirty-four thousand, five hundred two".

Divisors: 1 2 3 6 13 26 39 78 103 206 309 491 618 982 1339 1473 2678 2946 3433 4017 6383 6866 8034 10299 12766 19149 20598 38298 44629 50573 89258 101146 133887 151719 267774 303438 353599 657449 707198 1060797 1314898 1685603 1972347 2121594 3371206 3944694 4596787 5056809 9193574 10113618 13790361 21912839 27580722 43825678 65738517 131477034 173617109 347234218 520851327 1041702654 2257022417 4514044834 6771067251 13542134502