Search a number
-
+
1982168721 = 321324330307
BaseRepresentation
bin111011000100101…
…0111111010010001
312010010210121022100
41312021113322101
513024413344341
6524404431013
7100056104361
oct16611277221
95103717270
101982168721
11927978775
124739a8469
13257873100
1414b3769a1
15b903e3b6
hex76257e91

1982168721 has 36 divisors (see below), whose sum is σ = 3172520208. Its totient is φ = 1191389472.

The previous prime is 1982168717. The next prime is 1982168723. The reversal of 1982168721 is 1278612891.

It is not a de Polignac number, because 1982168721 - 22 = 1982168717 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1982168723) 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 35 ways as a sum of consecutive naturals, for example, 50250 + ... + 80556.

Almost surely, 21982168721 is an apocalyptic number.

It is an amenable number.

1982168721 is a deficient number, since it is larger than the sum of its proper divisors (1190351487).

1982168721 is a wasteful number, since it uses less digits than its factorization.

1982168721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30382 (or 30366 counting only the distinct ones).

The product of its digits is 96768, while the sum is 45.

The square root of 1982168721 is about 44521.5534432481. The cubic root of 1982168721 is about 1256.1655327777.

The spelling of 1982168721 in words is "one billion, nine hundred eighty-two million, one hundred sixty-eight thousand, seven hundred twenty-one".

Divisors: 1 3 9 13 39 43 117 129 169 387 507 559 1521 1677 5031 7267 21801 30307 65403 90921 272763 393991 1181973 1303201 3545919 3909603 5121883 11728809 15365649 16941613 46096947 50824839 152474517 220240969 660722907 1982168721