Search a number
-
+
1643053722400 = 255213731495861
BaseRepresentation
bin10111111010001101101…
…000100010101100100000
312211002000020110012002101
4113322031220202230200
5203404433223104100
63254450343300144
7226464255130426
oct27721550425440
95732006405071
101643053722400
115838a6aa0352
1222652744a654
13bbc2984c61c
145974a687116
152cb1622286a
hex17e8da22b20

1643053722400 has 72 divisors (see below), whose sum is σ = 4014028999764. Its totient is φ = 656742374400.

The previous prime is 1643053722397. The next prime is 1643053722421. The reversal of 1643053722400 is 42273503461.

It can be written as a sum of positive squares in 6 ways, for example, as 1376801850384 + 266251872016 = 1173372^2 + 515996^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1643053722400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 350470 + ... + 1846330.

Almost surely, 21643053722400 is an apocalyptic number.

1643053722400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1643053722400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2007014499882).

1643053722400 is an abundant number, since it is smaller than the sum of its proper divisors (2370975277364).

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

1643053722400 is a wasteful number, since it uses less digits than its factorization.

1643053722400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1497254 (or 1497241 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 37.

The spelling of 1643053722400 in words is "one trillion, six hundred forty-three billion, fifty-three million, seven hundred twenty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 1373 2746 5492 6865 10984 13730 21968 27460 34325 43936 54920 68650 109840 137300 219680 274600 549200 1098400 1495861 2991722 5983444 7479305 11966888 14958610 23933776 29917220 37396525 47867552 59834440 74793050 119668880 149586100 239337760 299172200 598344400 1196688800 2053817153 4107634306 8215268612 10269085765 16430537224 20538171530 32861074448 41076343060 51345428825 65722148896 82152686120 102690857650 164305372240 205381715300 328610744480 410763430600 821526861200 1643053722400