Search a number
-
+
82677481416 = 23321148298353
BaseRepresentation
bin100110011111111110…
…1100011111111001000
321220101221021020000100
41030333331203333020
52323310413401131
6101552001205400
75654552665605
oct1147775437710
9256357236010
1082677481416
1132077312542
1214034630860
137a47a6594a
1440045c96ac
15223d5a67e6
hex133ff63fc8

82677481416 has 24 divisors (see below), whose sum is σ = 223918179030. Its totient is φ = 27559160448.

The previous prime is 82677481379. The next prime is 82677481423. The reversal of 82677481416 is 61418477628.

82677481416 is a `hidden beast` number, since 82 + 6 + 7 + 74 + 81 + 416 = 666.

It can be written as a sum of positive squares in only one way, i.e., 76371533316 + 6305948100 = 276354^2 + 79410^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 574149105 + ... + 574149248.

Almost surely, 282677481416 is an apocalyptic number.

It is an amenable number.

82677481416 is an abundant number, since it is smaller than the sum of its proper divisors (141240697614).

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

82677481416 is a wasteful number, since it uses less digits than its factorization.

82677481416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148298365 (or 1148298358 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 54.

The spelling of 82677481416 in words is "eighty-two billion, six hundred seventy-seven million, four hundred eighty-one thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1148298353 2296596706 3444895059 4593193412 6889790118 9186386824 10334685177 13779580236 20669370354 27559160472 41338740708 82677481416