Search a number
-
+
1683374401449 = 321351061281777
BaseRepresentation
bin11000011111110000111…
…011101110011110101001
312221221002020220220112200
4120133300323232132221
5210040022321321244
63325155335330413
7232422405215526
oct30376073563651
95857066826480
101683374401449
11599a07a672a4
122322ba820a09
13c29841901b0
145b69368c14d
152dbc5e50669
hex187f0eee7a9

1683374401449 has 24 divisors (see below), whose sum is σ = 2618642978952. Its totient is φ = 1035898744320.

The previous prime is 1683374401417. The next prime is 1683374401477. The reversal of 1683374401449 is 9441044733861.

1683374401449 is a `hidden beast` number, since 1 + 68 + 33 + 74 + 40 + 1 + 449 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 50397107049 + 1632977294400 = 224493^2 + 1277880^2 .

It is not a de Polignac number, because 1683374401449 - 25 = 1683374401417 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1683374401395 and 1683374401404.

It is not an unprimeable number, because it can be changed into a prime (1683374401409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5833249 + ... + 6115025.

It is an arithmetic number, because the mean of its divisors is an integer number (109110124123).

Almost surely, 21683374401449 is an apocalyptic number.

It is an amenable number.

1683374401449 is a deficient number, since it is larger than the sum of its proper divisors (935268577503).

1683374401449 is a wasteful number, since it uses less digits than its factorization.

1683374401449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332857 (or 332854 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 1683374401449 in words is "one trillion, six hundred eighty-three billion, three hundred seventy-four million, four hundred one thousand, four hundred forty-nine".

Divisors: 1 3 9 13 39 117 51061 153183 281777 459549 663793 845331 1991379 2535993 3663101 5974137 10989303 32967909 14387815397 43163446191 129490338573 187041600161 561124800483 1683374401449