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117304000066 = 21121724194003
BaseRepresentation
bin110110100111111011…
…1001111111001000010
3102012210010011121212001
41231033313033321002
53410214311000231
6125515543454214
711321621356201
oct1551767177102
9365703147761
10117304000066
1145826060500
121a898a5736a
13b0a57a1536
14596b275238
1530b8460b61
hex1b4fdcfe42

117304000066 has 72 divisors (see below), whose sum is σ = 205994028240. Its totient is φ = 50051253120.

The previous prime is 117304000039. The next prime is 117304000081. The reversal of 117304000066 is 660000403711.

117304000066 is a nontrivial binomial coefficient, being equal to C(484364, 2).

It is a junction number, because it is equal to n+sod(n) for n = 117303999998 and 117304000043.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29302021 + ... + 29306023.

It is an arithmetic number, because the mean of its divisors is an integer number (2861028170).

Almost surely, 2117304000066 is an apocalyptic number.

117304000066 is the 484363-rd triangular number and also the 242182-nd hexagonal number.

117304000066 is the 161455-th centered nonagonal number.

117304000066 is a deficient number, since it is larger than the sum of its proper divisors (88690028174).

117304000066 is a wasteful number, since it uses less digits than its factorization.

117304000066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4480 (or 4452 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

Adding to 117304000066 its reverse (660000403711), we get a palindrome (777304403777).

The spelling of 117304000066 in words is "one hundred seventeen billion, three hundred four million, sixty-six", and thus it is an aban number.

Divisors: 1 2 11 17 22 34 121 187 242 289 374 419 578 838 2057 3179 4003 4114 4609 6358 7123 8006 9218 14246 34969 44033 50699 68051 69938 78353 88066 101398 121091 136102 156706 242182 484363 748561 861883 968726 1156867 1332001 1497122 1677257 1723766 2313734 2664002 3354514 8234171 12725537 14652011 16468342 18449827 25451074 28513369 29304022 36899654 57026738 139980907 202948097 279961814 313647059 405896194 484727273 627294118 969454546 3450117649 5332000003 6900235298 10664000006 58652000033 117304000066