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66740727200 = 2552713190977
BaseRepresentation
bin111110001010000011…
…101010110110100000
320101021021110020010012
4332022003222312200
52043141111232300
650354341224052
74551616551410
oct761203526640
9211237406105
1066740727200
1126339445194
1210b27402028
1363a8124b74
143331bdc640
151b09405435
hexf8a0eada0

66740727200 has 144 divisors (see below), whose sum is σ = 187630115904. Its totient is φ = 22707609600.

The previous prime is 66740727197. The next prime is 66740727203. The reversal of 66740727200 is 272704766.

It is an interprime number because it is at equal distance from previous prime (66740727197) and next prime (66740727203).

It is not an unprimeable number, because it can be changed into a prime (66740727203) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 688112 + ... + 779088.

It is an arithmetic number, because the mean of its divisors is an integer number (1302986916).

Almost surely, 266740727200 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 66740727200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93815057952).

66740727200 is an abundant number, since it is smaller than the sum of its proper divisors (120889388704).

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

66740727200 is a wasteful number, since it uses less digits than its factorization.

66740727200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91135 (or 91122 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 41.

The spelling of 66740727200 in words is "sixty-six billion, seven hundred forty million, seven hundred twenty-seven thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 131 140 160 175 200 224 262 280 350 400 524 560 655 700 800 917 1048 1120 1310 1400 1834 2096 2620 2800 3275 3668 4192 4585 5240 5600 6550 7336 9170 10480 13100 14672 18340 20960 22925 26200 29344 36680 45850 52400 73360 90977 91700 104800 146720 181954 183400 363908 366800 454885 636839 727816 733600 909770 1273678 1455632 1819540 2274425 2547356 2911264 3184195 3639080 4548850 5094712 6368390 7278160 9097700 10189424 11917987 12736780 14556320 15920975 18195400 20378848 23835974 25473560 31841950 36390800 47671948 50947120 59589935 63683900 72781600 83425909 95343896 101894240 119179870 127367800 166851818 190687792 238359740 254735600 297949675 333703636 381375584 417129545 476719480 509471200 595899350 667407272 834259090 953438960 1191798700 1334814544 1668518180 1906877920 2085647725 2383597400 2669629088 3337036360 4171295450 4767194800 6674072720 8342590900 9534389600 13348145440 16685181800 33370363600 66740727200