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545201881088 = 21540792
BaseRepresentation
bin1111110111100001001…
…00001000000000000000
31221010021001112012002112
413323300210020000000
532413033140143323
61054243504234452
754250416345254
oct7736044100000
91833231465075
10545201881088
111a0245280817
12897b700ba28
133c548b24487
141c560604264
15e2ae14d178
hex7ef0908000

545201881088 has 48 divisors (see below), whose sum is σ = 1090654506735. Its totient is φ = 272534110208.

The previous prime is 545201881073. The next prime is 545201881117. The reversal of 545201881088 is 880188102545.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 272600940544 + 272600940544 = 522112^2 + 522112^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=522112.

It is a super-2 number, since 2×5452018810882 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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, 133658633 + ... + 133662711.

Almost surely, 2545201881088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 545201881088

545201881088 is an abundant number, since it is smaller than the sum of its proper divisors (545452625647).

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

545201881088 is an frugal number, since it uses more digits than its factorization.

545201881088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8188 (or 4081 counting only the distinct ones).

The product of its (nonzero) digits is 819200, while the sum is 50.

Multiplying 545201881088 by its sum of digits (50), we get a square (27260094054400 = 52211202).

The spelling of 545201881088 in words is "five hundred forty-five billion, two hundred one million, eight hundred eighty-one thousand, eighty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4079 4096 8158 8192 16316 16384 32632 32768 65264 130528 261056 522112 1044224 2088448 4176896 8353792 16638241 16707584 33276482 33415168 66552964 66830336 133105928 133660672 266211856 532423712 1064847424 2129694848 4259389696 8518779392 17037558784 34075117568 68150235136 136300470272 272600940544 545201881088