Search a number
-
+
45521144112554 = 211172101673105331
BaseRepresentation
bin10100101100110101101111…
…00111111110010110101010
312222011210000210122001120222
422112122313213332112222
521431304300343100204
6240452042551450042
712405536246502335
oct1226326747762652
9188153023561528
1045521144112554
1113560455132810
125132377086922
131c5281920b7a6
14b353412ad61c
1553e199488abe
hex2966b79fe5aa

45521144112554 has 96 divisors (see below), whose sum is σ = 80031558641472. Its totient is φ = 19252638720000.

The previous prime is 45521144112511. The next prime is 45521144112599.

It is a happy number.

45521144112554 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×455211441125542 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 432119669 + ... + 432224999.

It is an arithmetic number, because the mean of its divisors is an integer number (833662069182).

Almost surely, 245521144112554 is an apocalyptic number.

45521144112554 is a deficient number, since it is larger than the sum of its proper divisors (34510414528918).

45521144112554 is a wasteful number, since it uses less digits than its factorization.

45521144112554 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106152 (or 106135 counting only the distinct ones).

The product of its digits is 640000, while the sum is 44.

It can be divided in two parts, 4552114 and 4112554, that added together give a palindrome (8664668).

The spelling of 45521144112554 in words is "forty-five trillion, five hundred twenty-one billion, one hundred forty-four million, one hundred twelve thousand, five hundred fifty-four".

Divisors: 1 2 11 17 22 34 101 187 202 289 374 578 673 1111 1346 1717 2222 3179 3434 6358 7403 11441 14806 18887 22882 29189 37774 58378 67973 105331 125851 135946 194497 210662 251702 321079 388994 642158 747703 1155541 1158641 1495406 1790627 2139467 2311082 2317282 3581254 4278934 10638431 12710951 19644197 19696897 21276862 25421902 30440659 39288394 39393794 60881318 70887763 117022741 141775526 180853327 216086167 234045482 334847249 361706654 432172334 669694498 779765393 1205091971 1559530786 1989386597 2410183942 3074506559 3978773194 6149013118 7159664063 13256011681 14319328126 20486563507 26512023362 33819572149 40973127014 67639144298 78756304693 121714289071 157512609386 225352198577 243428578142 450704397154 1338857179781 2069142914207 2677714359562 4138285828414 22760572056277 45521144112554