Search a number
-
+
13534050432 = 273731162419
BaseRepresentation
bin11001001101011000…
…10011100010000000
31021221012200222221010
430212230103202000
5210204204103212
610114545400520
7656246346660
oct144654234200
937835628833
1013534050432
115815689451
122758639140
131378c19586
149256661a0
1554329403c
hex326b13880

13534050432 has 128 divisors (see below), whose sum is σ = 42411110400. Its totient is φ = 3742110720.

The previous prime is 13534050377. The next prime is 13534050433. The reversal of 13534050432 is 23405043531.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 13534050432.

It is not an unprimeable number, because it can be changed into a prime (13534050433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2119 + ... + 164537.

It is an arithmetic number, because the mean of its divisors is an integer number (331336800).

Almost surely, 213534050432 is an apocalyptic number.

13534050432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13534050432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21205555200).

13534050432 is an abundant number, since it is smaller than the sum of its proper divisors (28877059968).

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

13534050432 is a wasteful number, since it uses less digits than its factorization.

13534050432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162474 (or 162462 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 13534050432 its reverse (23405043531), we get a palindrome (36939093963).

The spelling of 13534050432 in words is "thirteen billion, five hundred thirty-four million, fifty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 128 168 186 192 217 224 248 336 372 384 434 448 496 651 672 744 868 896 992 1302 1344 1488 1736 1984 2604 2688 2976 3472 3968 5208 5952 6944 10416 11904 13888 20832 27776 41664 83328 162419 324838 487257 649676 974514 1136933 1299352 1949028 2273866 2598704 3410799 3898056 4547732 5034989 5197408 6821598 7796112 9095464 10069978 10394816 13643196 15104967 15592224 18190928 20139956 20789632 27286392 30209934 31184448 35244923 36381856 40279912 54572784 60419868 62368896 70489846 72763712 80559824 105734769 109145568 120839736 140979692 145527424 161119648 211469538 218291136 241679472 281959384 322239296 422939076 436582272 483358944 563918768 644478592 845878152 966717888 1127837536 1691756304 1933435776 2255675072 3383512608 4511350144 6767025216 13534050432