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44138648464 = 245329912
BaseRepresentation
bin101001000110110111…
…100101001110010000
311012221002122122212221
4221012313211032100
51210343443222324
632135500230424
73121540215211
oct510667451620
9135832578787
1044138648464
11177a0130979
128679b3b414
13421562a091
1421ca0d3408
151234ee80e4
hexa46de5390

44138648464 has 45 divisors (see below), whose sum is σ = 87250677969. Its totient is φ = 21631072320.

The previous prime is 44138648453. The next prime is 44138648467. The reversal of 44138648464 is 46484683144.

The square root of 44138648464 is 210092.

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., 31819424400 + 12319224064 = 178380^2 + 110992^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (44138648467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 44539009 + ... + 44539999.

Almost surely, 244138648464 is an apocalyptic number.

44138648464 is the 210092-nd square number.

It is an amenable number.

44138648464 is a deficient number, since it is larger than the sum of its proper divisors (43112029505).

44138648464 is an frugal number, since it uses more digits than its factorization.

44138648464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2096 (or 1046 counting only the distinct ones).

The product of its digits is 7077888, while the sum is 52.

The spelling of 44138648464 in words is "forty-four billion, one hundred thirty-eight million, six hundred forty-eight thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 53 106 212 424 848 991 1982 2809 3964 5618 7928 11236 15856 22472 44944 52523 105046 210092 420184 840368 982081 1964162 2783719 3928324 5567438 7856648 11134876 15713296 22269752 44539504 52050293 104100586 208201172 416402344 832804688 2758665529 5517331058 11034662116 22069324232 44138648464