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541889361090 = 23257111728116369
BaseRepresentation
bin1111110001010110001…
…11110111010011000010
31220210201012102201220200
413320223013313103002
532334242134023330
61052535053350030
754102344366460
oct7705307672302
91823635381820
10541889361090
111998a5465490
1289031798316
133c13b77a57c
141c3286c9830
15e168425a60
hex7e2b1f74c2

541889361090 has 384 divisors, whose sum is σ = 1866626311680. Its totient is φ = 105593241600.

The previous prime is 541889361011. The next prime is 541889361127. The reversal of 541889361090 is 90163988145.

541889361090 is a `hidden beast` number, since 5 + 4 + 18 + 8 + 9 + 3 + 610 + 9 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 33096426 + ... + 33112794.

It is an arithmetic number, because the mean of its divisors is an integer number (4861006020).

Almost surely, 2541889361090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 541889361090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (933313155840).

541889361090 is an abundant number, since it is smaller than the sum of its proper divisors (1324736950590).

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

541889361090 is a wasteful number, since it uses less digits than its factorization.

541889361090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16698 (or 16695 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 541889361090 in words is "five hundred forty-one billion, eight hundred eighty-nine million, three hundred sixty-one thousand, ninety".