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5542351440 = 2435591372857
BaseRepresentation
bin1010010100101100…
…11001001001010000
3112022020220121212120
411022112121021100
542322320221230
62313543454240
7254226132003
oct51226311120
915266817776
105542351440
11239457073a
1210a8157380
136a43218c2
143a811d53a
15226888310
hex14a599250

5542351440 has 160 divisors (see below), whose sum is σ = 17606194560. Its totient is φ = 1441800192.

The previous prime is 5542351417. The next prime is 5542351459. The reversal of 5542351440 is 441532455.

It is a congruent 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 31 ways as a sum of consecutive naturals, for example, 1938492 + ... + 1941348.

It is an arithmetic number, because the mean of its divisors is an integer number (110038716).

Almost surely, 25542351440 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 5542351440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8803097280).

5542351440 is an abundant number, since it is smaller than the sum of its proper divisors (12063843120).

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

5542351440 is a wasteful number, since it uses less digits than its factorization.

5542351440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3069 (or 3063 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 33.

The square root of 5542351440 is about 74446.9706569717. The cubic root of 5542351440 is about 1769.6933555412.

Adding to 5542351440 its reverse (441532455), we get a palindrome (5983883895).

The spelling of 5542351440 in words is "five billion, five hundred forty-two million, three hundred fifty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 59 60 80 118 120 137 177 236 240 274 295 354 411 472 548 590 685 708 822 885 944 1096 1180 1370 1416 1644 1770 2055 2192 2360 2740 2832 2857 3288 3540 4110 4720 5480 5714 6576 7080 8083 8220 8571 10960 11428 14160 14285 16166 16440 17142 22856 24249 28570 32332 32880 34284 40415 42855 45712 48498 57140 64664 68568 80830 85710 96996 114280 121245 129328 137136 161660 168563 171420 193992 228560 242490 323320 337126 342840 387984 391409 484980 505689 646640 674252 685680 782818 842815 969960 1011378 1174227 1348504 1565636 1685630 1939920 1957045 2022756 2348454 2528445 2697008 3131272 3371260 3914090 4045512 4696908 5056890 5871135 6262544 6742520 7828180 8091024 9393816 10113780 11742270 13485040 15656360 18787632 20227560 23093131 23484540 31312720 40455120 46186262 46969080 69279393 92372524 93938160 115465655 138558786 184745048 230931310 277117572 346396965 369490096 461862620 554235144 692793930 923725240 1108470288 1385587860 1847450480 2771175720 5542351440