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66043860100 = 22523128292
BaseRepresentation
bin111101100000100001…
…010101010010000100
320022110201011201011121
4331200201111102010
52040224212010400
650201245043324
74525425356041
oct754041252204
9208421151147
1066043860100
1126011045669
1210971b56544
1362c694177a
1432a743c1c8
151ab815121a
hexf60855484

66043860100 has 81 divisors (see below), whose sum is σ = 148266227151. Its totient is φ = 25534526400.

The previous prime is 66043860083. The next prime is 66043860109. The reversal of 66043860100 is 106834066.

The square root of 66043860100 is 256990.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 286489476 + 65757370624 = 16926^2 + 256432^2 .

It is not an unprimeable number, because it can be changed into a prime (66043860109) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 79666486 + ... + 79667314.

Almost surely, 266043860100 is an apocalyptic number.

66043860100 is the 256990-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66043860100

66043860100 is an abundant number, since it is smaller than the sum of its proper divisors (82222367051).

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

66043860100 is an equidigital number, since it uses as much as digits as its factorization.

66043860100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1734 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The spelling of 66043860100 in words is "sixty-six billion, forty-three million, eight hundred sixty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 620 775 829 961 1550 1658 1922 3100 3316 3844 4145 4805 8290 9610 16580 19220 20725 24025 25699 41450 48050 51398 82900 96100 102796 128495 256990 513980 642475 687241 796669 1284950 1374482 1593338 2569900 2748964 3186676 3436205 3983345 6872410 7966690 13744820 15933380 17181025 19916725 21304471 34362050 39833450 42608942 68724100 79666900 85217884 106522355 213044710 426089420 532611775 660438601 1065223550 1320877202 2130447100 2641754404 3302193005 6604386010 13208772020 16510965025 33021930050 66043860100