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1005444542132 = 221761242392609
BaseRepresentation
bin11101010000110010010…
…10100010111010110100
310120010020011021211012122
432220121022202322310
5112433122300322012
62045521141535112
7132432565411502
oct16503112427264
93503204254178
101005444542132
11358452260a98
12142a41414498
1373a75262ac4
1436941585672
151b24972de72
hexea192a2eb4

1005444542132 has 24 divisors (see below), whose sum is σ = 1893571069320. Its totient is φ = 465393807360.

The previous prime is 1005444542129. The next prime is 1005444542173. The reversal of 1005444542132 is 2312454445001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 85541040676 + 919903501456 = 292474^2 + 959116^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1005444542092 and 1005444542101.

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 7 ways as a sum of consecutive naturals, for example, 121192157 + ... + 121200452.

It is an arithmetic number, because the mean of its divisors is an integer number (78898794555).

Almost surely, 21005444542132 is an apocalyptic number.

It is an amenable number.

1005444542132 is a deficient number, since it is larger than the sum of its proper divisors (888126527188).

1005444542132 is a wasteful number, since it uses less digits than its factorization.

1005444542132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242392691 (or 242392689 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

Adding to 1005444542132 its reverse (2312454445001), we get a palindrome (3317898987133).

The spelling of 1005444542132 in words is "one trillion, five billion, four hundred forty-four million, five hundred forty-two thousand, one hundred thirty-two".

Divisors: 1 2 4 17 34 61 68 122 244 1037 2074 4148 242392609 484785218 969570436 4120674353 8241348706 14785949149 16482697412 29571898298 59143796596 251361135533 502722271066 1005444542132