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1982148345 = 32544047741
BaseRepresentation
bin111011000100101…
…0010111011111001
312010010202120100200
41312021102323321
513024412221340
6524404152413
7100055661102
oct16611227371
95103676320
101982148345
11927964431
12473998709
13257866a58
1414b36d3a9
15b9038330
hex76252ef9

1982148345 has 12 divisors (see below), whose sum is σ = 3435723876. Its totient is φ = 1057145760.

The previous prime is 1982148313. The next prime is 1982148353. The reversal of 1982148345 is 5438412891.

1982148345 is a `hidden beast` number, since 1 + 98 + 214 + 8 + 345 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 270174969 + 1711973376 = 16437^2 + 41376^2 .

It is not a de Polignac number, because 1982148345 - 25 = 1982148313 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 44047741 = 1982148345 / (1 + 9 + 8 + 2 + 1 + 4 + 8 + 3 + 4 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 1982148345.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22023826 + ... + 22023915.

It is an arithmetic number, because the mean of its divisors is an integer number (286310323).

Almost surely, 21982148345 is an apocalyptic number.

1982148345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1982148345 is a deficient number, since it is larger than the sum of its proper divisors (1453575531).

1982148345 is a wasteful number, since it uses less digits than its factorization.

1982148345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44047752 (or 44047749 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 1982148345 is about 44521.3246096744. The cubic root of 1982148345 is about 1256.1612284491.

The spelling of 1982148345 in words is "one billion, nine hundred eighty-two million, one hundred forty-eight thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 45 44047741 132143223 220238705 396429669 660716115 1982148345