Search a number
-
+
82781049981 = 3731127159831
BaseRepresentation
bin100110100011000100…
…0101001010001111101
321220200011011001101010
41031012020221101331
52324013422044411
6102010141105433
75660251213020
oct1150610512175
9256604131333
1082781049981
113211a8210a3
1214063258279
137a63358816
1440142691b7
1522477137a6
hex134622947d

82781049981 has 16 divisors (see below), whose sum is σ = 130211667968. Its totient is φ = 45777538800.

The previous prime is 82781049977. The next prime is 82781050019. The reversal of 82781049981 is 18994018728.

It is not a de Polignac number, because 82781049981 - 22 = 82781049977 is a prime.

It is a super-2 number, since 2×827810499812 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82781049881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63579265 + ... + 63580566.

It is an arithmetic number, because the mean of its divisors is an integer number (8138229248).

Almost surely, 282781049981 is an apocalyptic number.

It is an amenable number.

82781049981 is a deficient number, since it is larger than the sum of its proper divisors (47430617987).

82781049981 is a wasteful number, since it uses less digits than its factorization.

82781049981 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127159872.

The product of its (nonzero) digits is 2322432, while the sum is 57.

The spelling of 82781049981 in words is "eighty-two billion, seven hundred eighty-one million, forty-nine thousand, nine hundred eighty-one".

Divisors: 1 3 7 21 31 93 217 651 127159831 381479493 890118817 2670356451 3941954761 11825864283 27593683327 82781049981