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4390529338881 = 327211328832
BaseRepresentation
bin111111111000111111111…
…100010000111000000001
3120112201201112112122020100
4333320333330100320001
51033413301002321011
613200551545033013
7632130260422200
oct77707774207001
916481645478210
104390529338881
111443016395104
125aaab7485769
1325b04330478a
141127077b1237
157931b206d56
hex3fe3ff10e01

4390529338881 has 81 divisors (see below), whose sum is σ = 7451586371619. Its totient is φ = 2483855321472.

The previous prime is 4390529338879. The next prime is 4390529338933. The reversal of 4390529338881 is 1888339250934.

The square root of 4390529338881 is 2095359.

It is a perfect power (a square), and thus also a powerful number.

4390529338881 is a `hidden beast` number, since 4 + 3 + 90 + 5 + 2 + 93 + 388 + 81 = 666.

It can be written as a sum of positive squares in only one way, i.e., 77364641025 + 4313164697856 = 278145^2 + 2076816^2 .

It is not a de Polignac number, because 4390529338881 - 21 = 4390529338879 is a prime.

It is a super-2 number, since 2×43905293388812 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (4390529338841) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4972286466 + ... + 4972287348.

Almost surely, 24390529338881 is an apocalyptic number.

4390529338881 is the 2095359-th square number.

4390529338881 is the 1047680-th centered octagonal number.

It is an amenable number.

4390529338881 is a deficient number, since it is larger than the sum of its proper divisors (3061057032738).

4390529338881 is an frugal number, since it uses more digits than its factorization.

4390529338881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2012 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 4390529338881 in words is "four trillion, three hundred ninety billion, five hundred twenty-nine million, three hundred thirty-eight thousand, eight hundred eighty-one".

Divisors: 1 3 7 9 21 49 63 113 147 339 441 791 883 1017 2373 2649 5537 6181 7119 7947 12769 16611 18543 38307 43267 49833 55629 89383 99779 114921 129801 268149 299337 389403 625681 698453 779689 804447 898011 1877043 2095359 2339067 4889171 5457823 5631129 6286077 7017201 11275027 14667513 16373469 33825081 38204761 44002539 49120407 78925189 88104857 101475243 114614283 236775567 264314571 343842849 552476323 616733999 710326701 792943713 1657428969 1850201997 4317137993 4972286907 5550605991 9955848841 12951413979 29867546523 38854241937 69690941887 89602639569 209072825661 487836593209 627218476983 1463509779627 4390529338881