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154853268196 = 221123125772
BaseRepresentation
bin1001000000110111111…
…0010101101011100100
3112210200222202002020111
42100031332111223210
510014114414040241
6155045534542404
714121260030134
oct2201576255344
9483628662214
10154853268196
115a7446a6400
1226018067a04
13117aabb48a3
1476d0178ac4
154064beec81
hex240df95ae4

154853268196 has 81 divisors (see below), whose sum is σ = 308321551881. Its totient is φ = 67999219200.

The previous prime is 154853268191. The next prime is 154853268233. The reversal of 154853268196 is 691862358451.

It is a happy number.

The square root of 154853268196 is 393514.

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

154853268196 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 153781622500 + 1071645696 = 392150^2 + 32736^2 .

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 154853268196.

It is not an unprimeable number, because it can be changed into a prime (154853268191) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 268376260 + ... + 268376836.

Almost surely, 2154853268196 is an apocalyptic number.

154853268196 is the 393514-th square number.

It is an amenable number.

154853268196 is a deficient number, since it is larger than the sum of its proper divisors (153468283685).

154853268196 is an equidigital number, since it uses as much as digits as its factorization.

154853268196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242 (or 621 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 58.

The spelling of 154853268196 in words is "one hundred fifty-four billion, eight hundred fifty-three million, two hundred sixty-eight thousand, one hundred ninety-six".

Divisors: 1 2 4 11 22 31 44 62 121 124 242 341 484 577 682 961 1154 1364 1922 2308 3751 3844 6347 7502 10571 12694 15004 17887 21142 25388 35774 42284 69817 71548 116281 139634 196757 232562 279268 332929 393514 465124 554497 665858 787028 1108994 1331716 2164327 2217988 3662219 4328654 6099467 7324438 8657308 10320799 12198934 14648876 20641598 24397868 40284409 41283196 67094137 80568818 113528789 134188274 161137636 227057578 268376548 319944769 454115156 639889538 1248816679 1279779076 2497633358 3519392459 4995266716 7038784918 14077569836 38713317049 77426634098 154853268196