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13432988848 = 2429181307521
BaseRepresentation
bin11001000001010101…
…10010010010110000
31021200011112112111111
430200222302102300
5210002321120343
610100535323104
7653611343536
oct144052622260
937604475444
1013432988848
115773632384
12272a820494
131360cc3816
1491607a156
1553947ec9d
hex320ab24b0

13432988848 has 80 divisors (see below), whose sum is σ = 27212945760. Its totient is φ = 6415718400.

The previous prime is 13432988797. The next prime is 13432988873. The reversal of 13432988848 is 84888923431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a junction number, because it is equal to n+sod(n) for n = 13432988792 and 13432988801.

It is an unprimeable number.

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, 25782828 + ... + 25783348.

It is an arithmetic number, because the mean of its divisors is an integer number (340161822).

Almost surely, 213432988848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13432988848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13606472880).

13432988848 is an abundant number, since it is smaller than the sum of its proper divisors (13779956912).

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

13432988848 is a wasteful number, since it uses less digits than its factorization.

13432988848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046 (or 1040 counting only the distinct ones).

The product of its digits is 10616832, while the sum is 58.

The spelling of 13432988848 in words is "thirteen billion, four hundred thirty-two million, nine hundred eighty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 29 58 116 181 232 307 362 464 521 614 724 1042 1228 1448 2084 2456 2896 4168 4912 5249 8336 8903 10498 15109 17806 20996 30218 35612 41992 55567 60436 71224 83984 94301 111134 120872 142448 159947 188602 222268 241744 319894 377204 444536 639788 754408 889072 1279576 1508816 1611443 2559152 2734729 3222886 4638463 5469458 6445772 9276926 10938916 12891544 18553852 21877832 25783088 28950407 37107704 43755664 57900814 74215408 115801628 231603256 463206512 839561803 1679123606 3358247212 6716494424 13432988848