Search a number
-
+
83289431616 = 2631393120857
BaseRepresentation
bin100110110010001101…
…1111101111001000000
321221222120202111212120
41031210123331321000
52331034043302431
6102132421324240
76005663326146
oct1154433757100
9257876674776
1083289431616
1132360792806
1214185566680
137b14786961
1440619a3596
152277185196
hex13646fde40

83289431616 has 56 divisors (see below), whose sum is σ = 221955420960. Its totient is φ = 27563400192.

The previous prime is 83289431611. The next prime is 83289431647. The reversal of 83289431616 is 61613498238.

It is a super-3 number, since 3×832894316163 (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (83289431611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1533741 + ... + 1587116.

It is an arithmetic number, because the mean of its divisors is an integer number (3963489660).

Almost surely, 283289431616 is an apocalyptic number.

It is an amenable number.

83289431616 is an abundant number, since it is smaller than the sum of its proper divisors (138665989344).

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

83289431616 is a wasteful number, since it uses less digits than its factorization.

83289431616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3121011 (or 3121001 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 51.

The spelling of 83289431616 in words is "eighty-three billion, two hundred eighty-nine million, four hundred thirty-one thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 139 192 278 417 556 834 1112 1668 2224 3336 4448 6672 8896 13344 26688 3120857 6241714 9362571 12483428 18725142 24966856 37450284 49933712 74900568 99867424 149801136 199734848 299602272 433799123 599204544 867598246 1301397369 1735196492 2602794738 3470392984 5205589476 6940785968 10411178952 13881571936 20822357904 27763143872 41644715808 83289431616