Search a number
-
+
55144151205 = 351113371275471
BaseRepresentation
bin110011010110110110…
…001111100010100101
312021100002110010110120
4303112312033202211
51400413400314310
641155522312153
73661344360063
oct632666174245
9167302403416
1055144151205
1121428487a90
12a82b7b8659
13527a730290
1429519d7033
15167b2c2b70
hexcd6d8f8a5

55144151205 has 128 divisors (see below), whose sum is σ = 107314937856. Its totient is φ = 23819443200.

The previous prime is 55144151191. The next prime is 55144151207. The reversal of 55144151205 is 50215144155.

It is a happy number.

It is not a de Polignac number, because 55144151205 - 211 = 55144149157 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55144151207) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10076620 + ... + 10082090.

It is an arithmetic number, because the mean of its divisors is an integer number (838397952).

Almost surely, 255144151205 is an apocalyptic number.

55144151205 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

55144151205 is a deficient number, since it is larger than the sum of its proper divisors (52170786651).

55144151205 is a wasteful number, since it uses less digits than its factorization.

55144151205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5667.

The product of its (nonzero) digits is 20000, while the sum is 33.

The spelling of 55144151205 in words is "fifty-five billion, one hundred forty-four million, one hundred fifty-one thousand, two hundred five".

Divisors: 1 3 5 11 13 15 33 37 39 55 65 111 127 143 165 185 195 381 407 429 481 555 635 715 1221 1397 1443 1651 1905 2035 2145 2405 4191 4699 4953 5291 5471 6105 6985 7215 8255 14097 15873 16413 18161 20955 23495 24765 26455 27355 51689 54483 60181 61087 70485 71123 79365 82065 90805 155067 180543 183261 202427 213369 258445 272415 300905 305435 355615 607281 671957 694817 775335 782353 902715 916305 1012135 1066845 2015871 2084451 2226697 2347059 2631551 3036405 3359785 3474085 3911765 6680091 7642987 7894653 9032621 10079355 10422255 11133485 11735295 13157755 22928961 25708229 27097863 28947061 33400455 38214935 39473265 45163105 77124687 86841183 99358831 114644805 128541145 135489315 144735305 282790519 298076493 334206977 385623435 434205915 496794155 848371557 1002620931 1413952595 1490382465 1671034885 3676276747 4241857785 5013104655 11028830241 18381383735 55144151205