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66716850 = 23522391861
BaseRepresentation
bin1111111010000…
…0010010110010
311122112120022110
43332200102302
5114034414400
610341550150
71440040524
oct376402262
9148476273
1066716850
11347293a2
121a415356
1310a8c335
148c09a14
155ccce50
hex3fa04b2

66716850 has 48 divisors (see below), whose sum is σ = 166239360. Its totient is φ = 17707200.

The previous prime is 66716821. The next prime is 66716869. The reversal of 66716850 is 5861766.

66716850 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×667168502 = 8902276147845000, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 66716799 and 66716808.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34920 + ... + 36780.

It is an arithmetic number, because the mean of its divisors is an integer number (3463320).

Almost surely, 266716850 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66716850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83119680).

66716850 is an abundant number, since it is smaller than the sum of its proper divisors (99522510).

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

66716850 is a wasteful number, since it uses less digits than its factorization.

66716850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2115 (or 2110 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 66716850 is about 8168.0383201844. The cubic root of 66716850 is about 405.5818492436.

The spelling of 66716850 in words is "sixty-six million, seven hundred sixteen thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 239 478 717 1195 1434 1861 2390 3585 3722 5583 5975 7170 9305 11166 11950 17925 18610 27915 35850 46525 55830 93050 139575 279150 444779 889558 1334337 2223895 2668674 4447790 6671685 11119475 13343370 22238950 33358425 66716850