Search a number
-
+
83072878937 is a prime number
BaseRepresentation
bin100110101011110000…
…1111000100101011001
321221102111021111102222
41031113201320211121
52330113124111222
6102055124033425
76000423551216
oct1152741704531
9257374244388
1083072878937
113225a524554
1214124b32875
137aab955389
144040d12b0d
15226315b542
hex1357878959

83072878937 has 2 divisors, whose sum is σ = 83072878938. Its totient is φ = 83072878936.

The previous prime is 83072878927. The next prime is 83072878981. The reversal of 83072878937 is 73987827038.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58175510416 + 24897368521 = 241196^2 + 157789^2 .

It is a cyclic number.

It is not a de Polignac number, because 83072878937 - 24 = 83072878921 is a prime.

It is a super-2 number, since 2×830728789372 (a number of 23 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 83072878937.

It is not a weakly prime, because it can be changed into another prime (83072878927) 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 as a sum of consecutive naturals, namely, 41536439468 + 41536439469.

It is an arithmetic number, because the mean of its divisors is an integer number (41536439469).

Almost surely, 283072878937 is an apocalyptic number.

It is an amenable number.

83072878937 is a deficient number, since it is larger than the sum of its proper divisors (1).

83072878937 is an equidigital number, since it uses as much as digits as its factorization.

83072878937 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28449792, while the sum is 62.

The spelling of 83072878937 in words is "eighty-three billion, seventy-two million, eight hundred seventy-eight thousand, nine hundred thirty-seven".