Search a number
-
+
29985078244 = 221121724632
BaseRepresentation
bin11011111011001111…
…111111101111100100
32212101201012210120111
4123323033333233210
5442402140000434
621435220142404
72111025650122
oct337317775744
985351183514
1029985078244
1111797882100
125989b37a04
132a9b26c264
141646482912
15ba767c964
hex6fb3ffbe4

29985078244 has 81 divisors (see below), whose sum is σ = 61402923561. Its totient is φ = 12800135040.

The previous prime is 29985078241. The next prime is 29985078251. The reversal of 29985078244 is 44287058992.

It is a happy number.

The square root of 29985078244 is 173162.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 23344784100 + 6640294144 = 152790^2 + 81488^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (29985078241) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 64762357 + ... + 64762819.

Almost surely, 229985078244 is an apocalyptic number.

29985078244 is the 173162-nd square number.

It is an amenable number.

29985078244 is an abundant number, since it is smaller than the sum of its proper divisors (31417845317).

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

29985078244 is a wasteful number, since it uses less digits than its factorization.

29985078244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 58.

The spelling of 29985078244 in words is "twenty-nine billion, nine hundred eighty-five million, seventy-eight thousand, two hundred forty-four".

Divisors: 1 2 4 11 17 22 34 44 68 121 187 242 289 374 463 484 578 748 926 1156 1852 2057 3179 4114 5093 6358 7871 8228 10186 12716 15742 20372 31484 34969 56023 69938 86581 112046 133807 139876 173162 214369 224092 267614 346324 428738 535228 857476 952391 1471877 1904782 2358059 2943754 3644273 3809564 4716118 5887508 7288546 9432236 14577092 16190647 25938649 32381294 40087003 51877298 61952641 64762588 80174006 103754596 123905282 160348012 247810564 440957033 681479051 881914066 1362958102 1763828132 2725916204 7496269561 14992539122 29985078244