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11034464644 = 2272411373129
BaseRepresentation
bin10100100011011010…
…01001000110000100
31001111000021212211201
422101231021012010
5140044310332034
65022534512244
7540305254600
oct122155110604
931430255751
1011034464644
114752738675
12217b505684
13106b103828
147696c2500
15448aeb014
hex291b49184

11034464644 has 36 divisors (see below), whose sum is σ = 23010912540. Its totient is φ = 4613710080.

The previous prime is 11034464641. The next prime is 11034464657. The reversal of 11034464644 is 44646443011.

It can be written as a sum of positive squares in 2 ways, for example, as 4515840000 + 6518624644 = 67200^2 + 80738^2 .

It is not an unprimeable number, because it can be changed into a prime (11034464641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 678529 + ... + 694600.

It is an arithmetic number, because the mean of its divisors is an integer number (639192015).

Almost surely, 211034464644 is an apocalyptic number.

11034464644 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11034464644 is an abundant number, since it is smaller than the sum of its proper divisors (11976447896).

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

11034464644 is a wasteful number, since it uses less digits than its factorization.

11034464644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1373188 (or 1373179 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 37.

The spelling of 11034464644 in words is "eleven billion, thirty-four million, four hundred sixty-four thousand, six hundred forty-four".

Divisors: 1 2 4 7 14 28 41 49 82 98 164 196 287 574 1148 2009 4018 8036 1373129 2746258 5492516 9611903 19223806 38447612 56298289 67283321 112596578 134566642 225193156 269133284 394088023 788176046 1576352092 2758616161 5517232322 11034464644