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66166716 = 223711101709
BaseRepresentation
bin1111110001100…
…1111110111100
311121111121200010
43330121332330
5113414313331
610322103220
71432256610
oct374317674
9147447603
1066166716
1134393040
121a1aab10
1310928b05
148b05340
155c1ee46
hex3f19fbc

66166716 has 96 divisors (see below), whose sum is σ = 194664960. Its totient is φ = 16992000.

The previous prime is 66166691. The next prime is 66166729. The reversal of 66166716 is 61766166.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92970 + ... + 93678.

It is an arithmetic number, because the mean of its divisors is an integer number (2027760).

Almost surely, 266166716 is an apocalyptic number.

66166716 is a gapful number since it is divisible by the number (66) 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 66166716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97332480).

66166716 is an abundant number, since it is smaller than the sum of its proper divisors (128498244).

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

66166716 is a wasteful number, since it uses less digits than its factorization.

66166716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835 (or 833 counting only the distinct ones).

The product of its digits is 54432, while the sum is 39.

The square root of 66166716 is about 8134.2925937048. The cubic root of 66166716 is about 404.4639883640.

The spelling of 66166716 in words is "sixty-six million, one hundred sixty-six thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 101 132 154 202 231 303 308 404 462 606 707 709 924 1111 1212 1414 1418 2121 2127 2222 2828 2836 3333 4242 4254 4444 4963 6666 7777 7799 8484 8508 9926 13332 14889 15554 15598 19852 23331 23397 29778 31108 31196 46662 46794 54593 59556 71609 93324 93588 109186 143218 163779 214827 218372 286436 327558 429654 501263 655116 787699 859308 1002526 1503789 1575398 2005052 2363097 3007578 3150796 4726194 5513893 6015156 9452388 11027786 16541679 22055572 33083358 66166716