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104127545344 = 21425212
BaseRepresentation
bin110000011111001111…
…1000100000000000000
3100221202211100101000111
41200332133010000000
53201223122422334
6115500250401104
710344243350254
oct1407637040000
9327684311014
10104127545344
1140184314aa9
1218220130194
139a8599a574
14507b2d6264
152a967a6064
hex183e7c4000

104127545344 has 45 divisors (see below), whose sum is σ = 208331373621. Its totient is φ = 52043120640.

The previous prime is 104127545341. The next prime is 104127545369. The reversal of 104127545344 is 443545721401.

The square root of 104127545344 is 322688.

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., 82591744 + 104044953600 = 9088^2 + 322560^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 104127545297 and 104127545306.

It is not an unprimeable number, because it can be changed into a prime (104127545341) 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 2 ways as a sum of consecutive naturals, for example, 41302804 + ... + 41305324.

Almost surely, 2104127545344 is an apocalyptic number.

104127545344 is the 322688-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104127545344

104127545344 is an abundant number, since it is smaller than the sum of its proper divisors (104203828277).

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

104127545344 is an frugal number, since it uses more digits than its factorization.

104127545344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5070 (or 2523 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 40.

The spelling of 104127545344 in words is "one hundred four billion, one hundred twenty-seven million, five hundred forty-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 2521 4096 5042 8192 10084 16384 20168 40336 80672 161344 322688 645376 1290752 2581504 5163008 6355441 10326016 12710882 20652032 25421764 41304064 50843528 101687056 203374112 406748224 813496448 1626992896 3253985792 6507971584 13015943168 26031886336 52063772672 104127545344