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2066242608 = 24317
BaseRepresentation
bin111101100101000…
…0101110000110000
312100000000000000000
41323022011300300
513212424230413
6541010430000
7102126525633
oct17312056060
95300000000
102066242608
11970381721
12497b92300
1326c0cb881
141585bdc1a
15c15ea073
hex7b285c30

2066242608 has 90 divisors (see below), whose sum is σ = 6005017564. Its totient is φ = 688747536.

The previous prime is 2066242573. The next prime is 2066242613. The reversal of 2066242608 is 8062426602.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2066242608 is a `hidden beast` number, since 2 + 0 + 6 + 6 + 2 + 42 + 608 = 666.

It is a super-2 number, since 2×20662426082 = 8538717030229283328, which contains 22 as substring.

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

It is a nialpdrome in base 9.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 688747535 + 688747536 + 688747537.

Almost surely, 22066242608 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 2066242608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3002508782).

2066242608 is an abundant number, since it is smaller than the sum of its proper divisors (3938774956).

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

2066242608 is an frugal number, since it uses more digits than its factorization.

2066242608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 5 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 2066242608 is about 45455.9413938376. The cubic root of 2066242608 is about 1273.6803175855.

Multiplying 2066242608 by its product of nonzero digits (55296), we get a 5-th power (114254951251968 = 6485).

The spelling of 2066242608 in words is "two billion, sixty-six million, two hundred forty-two thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2187 2916 3888 4374 5832 6561 8748 11664 13122 17496 19683 26244 34992 39366 52488 59049 78732 104976 118098 157464 177147 236196 314928 354294 472392 531441 708588 944784 1062882 1417176 1594323 2125764 2834352 3188646 4251528 4782969 6377292 8503056 9565938 12754584 14348907 19131876 25509168 28697814 38263752 43046721 57395628 76527504 86093442 114791256 129140163 172186884 229582512 258280326 344373768 516560652 688747536 1033121304 2066242608