Search a number
-
+
4164815466050 = 252257211232
BaseRepresentation
bin111100100110110010010…
…110001010111001000010
3112202011010011001212111112
4330212302112022321002
51021214020224403200
612505142333243322
7606620003233001
oct74466226127102
915664104055445
104164815466050
111366319832738
12573204333542
132429818c3445
141058145dac38
157350a59c535
hex3c9b258ae42

4164815466050 has 54 divisors (see below), whose sum is σ = 7783747499403. Its totient is φ = 1657966295040.

The previous prime is 4164815466041. The next prime is 4164815466079. The reversal of 4164815466050 is 506645184614.

It can be written as a sum of positive squares in 5 ways, for example, as 3875460767161 + 289354698889 = 1968619^2 + 537917^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=1443055.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4164815466050.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3708650789 + ... + 3708651911.

Almost surely, 24164815466050 is an apocalyptic number.

4164815466050 is a deficient number, since it is larger than the sum of its proper divisors (3618932033353).

4164815466050 is an frugal number, since it uses more digits than its factorization.

4164815466050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2772 (or 1387 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 50.

Multiplying 4164815466050 by its sum of digits (50), we get a square (208240773302500 = 144305502).

4164815466050 divided by its sum of digits (50) gives a square (83296309321 = 2886112).

The spelling of 4164815466050 in words is "four trillion, one hundred sixty-four billion, eight hundred fifteen million, four hundred sixty-six thousand, fifty".

Divisors: 1 2 5 10 25 50 257 514 1123 1285 2246 2570 5615 6425 11230 12850 28075 56150 66049 132098 288611 330245 577222 660490 1261129 1443055 1651225 2522258 2886110 3302450 6305645 7215275 12611290 14430550 31528225 63056450 74173027 148346054 324110153 370865135 648220306 741730270 1620550765 1854325675 3241101530 3708651350 8102753825 16205507650 83296309321 166592618642 416481546605 832963093210 2082407733025 4164815466050