Search a number
-
+
967438834768 = 24780891067851
BaseRepresentation
bin11100001001111111101…
…10010001110001010000
310102111010110211211220101
432010333312101301100
5111322303320203033
62020234003422144
7126616015262110
oct16047766216120
93374113754811
10967438834768
1134331a00158a
121375b5384954
13702c9409b73
1434b77bc9040
151a272d7d97d
hexe13fd91c50

967438834768 has 40 divisors (see below), whose sum is σ = 2142452824640. Its totient is φ = 414564998400.

The previous prime is 967438834741. The next prime is 967438834777. The reversal of 967438834768 is 867438834769.

967438834768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×9674388347682 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 967438834768.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 372043 + ... + 1439893.

It is an arithmetic number, because the mean of its divisors is an integer number (53561320616).

Almost surely, 2967438834768 is an apocalyptic number.

It is an amenable number.

967438834768 is an abundant number, since it is smaller than the sum of its proper divisors (1175013989872).

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

967438834768 is a wasteful number, since it uses less digits than its factorization.

967438834768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1075955 (or 1075949 counting only the distinct ones).

The product of its digits is 1170505728, while the sum is 73.

Subtracting from 967438834768 its reverse (867438834769), we obtain a palindrome (99999999999).

The spelling of 967438834768 in words is "nine hundred sixty-seven billion, four hundred thirty-eight million, eight hundred thirty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 112 8089 16178 32356 56623 64712 113246 129424 226492 452984 905968 1067851 2135702 4271404 7474957 8542808 14949914 17085616 29899828 59799656 119599312 8637846739 17275693478 34551386956 60464927173 69102773912 120929854346 138205547824 241859708692 483719417384 967438834768