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66170755440 = 2433530799787
BaseRepresentation
bin111101101000000101…
…011001100101110000
320022210112221122212000
4331220011121211300
52041004203133230
650222020534000
74531526066226
oct755005314560
9208715848760
1066170755440
1126076736a49
12109a8551300
13631701107a
1432ba230b16
151ac4369b60
hexf68159970

66170755440 has 160 divisors (see below), whose sum is σ = 228666197760. Its totient is φ = 17587881216.

The previous prime is 66170755439. The next prime is 66170755451. The reversal of 66170755440 is 4455707166.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 613227 + ... + 713013.

It is an arithmetic number, because the mean of its divisors is an integer number (1429163736).

Almost surely, 266170755440 is an apocalyptic number.

66170755440 is a gapful number since it is divisible by the number (60) 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 66170755440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114333098880).

66170755440 is an abundant number, since it is smaller than the sum of its proper divisors (162495442320).

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

66170755440 is a wasteful number, since it uses less digits than its factorization.

66170755440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100116 (or 100104 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 66170755440 in words is "sixty-six billion, one hundred seventy million, seven hundred fifty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 307 360 432 540 614 720 921 1080 1228 1535 1842 2160 2456 2763 3070 3684 4605 4912 5526 6140 7368 8289 9210 11052 12280 13815 14736 16578 18420 22104 24560 27630 33156 36840 41445 44208 55260 66312 73680 82890 99787 110520 132624 165780 199574 221040 299361 331560 399148 498935 598722 663120 798296 898083 997870 1197444 1496805 1596592 1796166 1995740 2394888 2694249 2993610 3592332 3991480 4490415 4789776 5388498 5987220 7184664 7982960 8980830 10776996 11974440 13471245 14369328 17961660 21553992 23948880 26942490 30634609 35923320 43107984 53884980 61269218 71846640 91903827 107769960 122538436 153173045 183807654 215539920 245076872 275711481 306346090 367615308 459519135 490153744 551422962 612692180 735230616 827134443 919038270 1102845924 1225384360 1378557405 1470461232 1654268886 1838076540 2205691848 2450768720 2757114810 3308537772 3676153080 4135672215 4411383696 5514229620 6617075544 7352306160 8271344430 11028459240 13234151088 16542688860 22056918480 33085377720 66170755440