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540750266628 = 22311213314321491
BaseRepresentation
bin1111101111001110011…
…10100100000100000100
31220200202211000202001220
413313213032210010010
532324424032013003
61052230042520340
754032203266405
oct7674716440404
91820684022056
10540750266628
11199370478a00
12889742060b0
133bcb978c290
141c25b2d19ac
15e0ed41b353
hex7de73a4104

540750266628 has 288 divisors, whose sum is σ = 1577673732096. Its totient is φ = 142968672000.

The previous prime is 540750266603. The next prime is 540750266633. The reversal of 540750266628 is 826662057045.

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 95 ways as a sum of consecutive naturals, for example, 25150963 + ... + 25172453.

It is an arithmetic number, because the mean of its divisors is an integer number (5478033792).

Almost surely, 2540750266628 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 540750266628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788836866048).

540750266628 is an abundant number, since it is smaller than the sum of its proper divisors (1036923465468).

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

540750266628 is a wasteful number, since it uses less digits than its factorization.

540750266628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21607 (or 21594 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 51.

The spelling of 540750266628 in words is "five hundred forty billion, seven hundred fifty million, two hundred sixty-six thousand, six hundred twenty-eight".