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66606516 = 22335910453
BaseRepresentation
bin1111111000010…
…1010110110100
311122022221222000
43332011112310
5114022402031
610335335300
71436101044
oct376052664
9148287860
1066606516
1134663509
121a381530
1310a51052
148bbb724
155caa3e6
hex3f855b4

66606516 has 48 divisors (see below), whose sum is σ = 175627200. Its totient is φ = 21823776.

The previous prime is 66606499. The next prime is 66606539. The reversal of 66606516 is 61560666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1146 + ... + 11598.

It is an arithmetic number, because the mean of its divisors is an integer number (3658900).

Almost surely, 266606516 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 66606516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87813600).

66606516 is an abundant number, since it is smaller than the sum of its proper divisors (109020684).

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

66606516 is a wasteful number, since it uses less digits than its factorization.

66606516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10525 (or 10517 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 66606516 is about 8161.2815170168. The cubic root of 66606516 is about 405.3581468415.

The spelling of 66606516 in words is "sixty-six million, six hundred six thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 59 108 118 177 236 354 531 708 1062 1593 2124 3186 6372 10453 20906 31359 41812 62718 94077 125436 188154 282231 376308 564462 616727 1128924 1233454 1850181 2466908 3700362 5550543 7400724 11101086 16651629 22202172 33303258 66606516