Search a number
-
+
655532043120 = 243351915973003
BaseRepresentation
bin10011000101000001100…
…00010010101101110000
32022200001011012010122000
421202200300102231300
541220012200334440
61221051450414000
765234460300243
oct11424060225560
92280034163560
10655532043120
11233011826509
12a7068431300
1349a7c84cb16
1423a295ad25a
15120ba211730
hex98a0c12b70

655532043120 has 160 divisors (see below), whose sum is σ = 2376782995200. Its totient is φ = 165608084736.

The previous prime is 655532043083. The next prime is 655532043121. The reversal of 655532043120 is 21340235556.

655532043120 is a `hidden beast` number, since 65 + 5 + 532 + 0 + 43 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (655532043121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7945462 + ... + 8027541.

It is an arithmetic number, because the mean of its divisors is an integer number (14854893720).

Almost surely, 2655532043120 is an apocalyptic number.

655532043120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

655532043120 is an abundant number, since it is smaller than the sum of its proper divisors (1721250952080).

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

655532043120 is a wasteful number, since it uses less digits than its factorization.

655532043120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15973044 (or 15973032 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Adding to 655532043120 its reverse (21340235556), we get a palindrome (676872278676).

The spelling of 655532043120 in words is "six hundred fifty-five billion, five hundred thirty-two million, forty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 27 30 36 38 40 45 48 54 57 60 72 76 80 90 95 108 114 120 135 144 152 171 180 190 216 228 240 270 285 304 342 360 380 432 456 513 540 570 684 720 760 855 912 1026 1080 1140 1368 1520 1710 2052 2160 2280 2565 2736 3420 4104 4560 5130 6840 8208 10260 13680 20520 41040 15973003 31946006 47919009 63892012 79865015 95838018 127784024 143757027 159730030 191676036 239595045 255568048 287514054 303487057 319460060 383352072 431271081 479190090 575028108 606974114 638920120 718785135 766704144 862542162 910461171 958380180 1150056216 1213948228 1277840240 1437570270 1517435285 1725084324 1820922342 1916760360 2156355405 2300112432 2427896456 2731383513 2875140540 3034870570 3450168648 3641844684 3833520720 4312710810 4552305855 4855792912 5462767026 5750281080 6069741140 6900337296 7283689368 8194150539 8625421620 9104611710 10925534052 11500562160 12139482280 13656917565 14567378736 16388301078 17250843240 18209223420 21851068104 24278964560 27313835130 32776602156 34501686480 36418446840 40970752695 43702136208 54627670260 65553204312 72836893680 81941505390 109255340520 131106408624 163883010780 218510681040 327766021560 655532043120