Search a number
-
+
1966146632 = 236122572
BaseRepresentation
bin111010100110001…
…0000010001001000
312002000122121010122
41311030100101020
513011313143012
6523033202412
766502653632
oct16514202110
95060577118
101966146632
1191992507a
1246a560408
13254453498
141491a5a52
15b7926e72
hex75310448

1966146632 has 36 divisors (see below), whose sum is σ = 3762590715. Its totient is φ = 963194880.

The previous prime is 1966146617. The next prime is 1966146647. The reversal of 1966146632 is 2366416691.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (1966146617) and next prime (1966146647).

It can be written as a sum of positive squares in 5 ways, for example, as 1093889476 + 872257156 = 33074^2 + 29534^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=31354.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7650248 + ... + 7650504.

Almost surely, 21966146632 is an apocalyptic number.

It is an amenable number.

1966146632 is a deficient number, since it is larger than the sum of its proper divisors (1796444083).

1966146632 is an frugal number, since it uses more digits than its factorization.

1966146632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 320 counting only the distinct ones).

The product of its digits is 279936, while the sum is 44.

The square root of 1966146632 is about 44341.2520346460. The cubic root of 1966146632 is about 1252.7717973287.

The spelling of 1966146632 in words is "one billion, nine hundred sixty-six million, one hundred forty-six thousand, six hundred thirty-two".

Divisors: 1 2 4 8 61 122 244 257 488 514 1028 2056 3721 7442 14884 15677 29768 31354 62708 66049 125416 132098 264196 528392 956297 1912594 3825188 4028989 7650376 8057978 16115956 32231912 245768329 491536658 983073316 1966146632