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542006893044 = 223431467115553
BaseRepresentation
bin1111110001100100010…
…00001101100111110100
31220211000101120222110000
413320302020031213310
532340012231034134
61052554452431300
754105302401311
oct7706210154764
91824011528400
10542006893044
11199955840a31
1289065018530
133c159c1bcc6
141c33a161d08
15e1738dee99
hex7e3220d9f4

542006893044 has 120 divisors (see below), whose sum is σ = 1465764588288. Its totient is φ = 174465031680.

The previous prime is 542006893037. The next prime is 542006893061. The reversal of 542006893044 is 440398600245.

542006893044 is a `hidden beast` number, since 542 + 0 + 0 + 68 + 9 + 3 + 0 + 44 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4632772 + ... + 4748324.

Almost surely, 2542006893044 is an apocalyptic number.

542006893044 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542006893044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732882294144).

542006893044 is an abundant number, since it is smaller than the sum of its proper divisors (923757695244).

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

542006893044 is a wasteful number, since it uses less digits than its factorization.

542006893044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116067 (or 116056 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 542006893044 in words is "five hundred forty-two billion, six million, eight hundred ninety-three thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 81 93 108 124 162 186 279 324 372 467 558 837 934 1116 1401 1674 1868 2511 2802 3348 4203 5022 5604 8406 10044 12609 14477 16812 25218 28954 37827 43431 50436 57908 75654 86862 115553 130293 151308 173724 231106 260586 346659 390879 462212 521172 693318 781758 1039977 1172637 1386636 1563516 2079954 2345274 3119931 3582143 4159908 4690548 6239862 7164286 9359793 10746429 12479724 14328572 18719586 21492858 32239287 37439172 42985716 53963251 64478574 96717861 107926502 128957148 161889753 193435722 215853004 290153583 323779506 386871444 485669259 580307166 647559012 971338518 1160614332 1457007777 1672860781 1942677036 2914015554 3345721562 4371023331 5018582343 5828031108 6691443124 8742046662 10037164686 15055747029 17484093324 20074329372 30111494058 45167241087 60222988116 90334482174 135501723261 180668964348 271003446522 542006893044