Search a number
-
+
106352261455 = 511191812272477
BaseRepresentation
bin110001100001100010…
…1101011100101001111
3101011111212112122210111
41203003011223211033
53220302134331310
6120505122020451
710453336210126
oct1430305534517
9334455478714
10106352261455
1141116096160
12187411a7727
13a04b873b2b
14520c968abd
152b76c5628a
hex18c316b94f

106352261455 has 64 divisors (see below), whose sum is σ = 148071006720. Its totient is φ = 72521049600.

The previous prime is 106352261419. The next prime is 106352261467. The reversal of 106352261455 is 554162253601.

It is not a de Polignac number, because 106352261455 - 229 = 105815390543 is a prime.

It is a super-2 number, since 2×1063522614552 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 42934677 + ... + 42937153.

It is an arithmetic number, because the mean of its divisors is an integer number (2313609480).

Almost surely, 2106352261455 is an apocalyptic number.

106352261455 is a deficient number, since it is larger than the sum of its proper divisors (41718745265).

106352261455 is a wasteful number, since it uses less digits than its factorization.

106352261455 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2920.

The product of its (nonzero) digits is 216000, while the sum is 40.

The spelling of 106352261455 in words is "one hundred six billion, three hundred fifty-two million, two hundred sixty-one thousand, four hundred fifty-five".

Divisors: 1 5 11 19 55 95 181 209 227 905 1045 1135 1991 2477 2497 3439 4313 9955 12385 12485 17195 21565 27247 37829 41087 47063 47443 136235 189145 205435 235315 237215 448337 451957 517693 562279 780653 2241685 2259785 2588465 2811395 3903265 4931707 6185069 8518403 8587183 10683301 24658535 30925345 42592015 42935915 53416505 93702433 101772499 117516311 468512165 508862495 587581555 1119497489 1933677481 5597487445 9668387405 21270452291 106352261455