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66633337 = 37248673
BaseRepresentation
bin1111111000101…
…1111001111001
311122101022202101
43332023321321
5114024231322
610340103401
71436242201
oct376137171
9148338671
1066633337
1134681681
121a394b61
1310a60314
148bc7401
155cb3327
hex3f8be79

66633337 has 6 divisors (see below), whose sum is σ = 68484318. Its totient is φ = 64831104.

The previous prime is 66633299. The next prime is 66633341. The reversal of 66633337 is 73333666.

It is a happy number.

It is the 3333-rd star number.

It can be written as a sum of positive squares in 3 ways, for example, as 17338896 + 49294441 = 4164^2 + 7021^2 .

It is a de Polignac number, because none of the positive numbers 2k-66633337 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 66633296 and 66633305.

It is not an unprimeable number, because it can be changed into a prime (66633377) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22968 + ... + 25705.

It is an arithmetic number, because the mean of its divisors is an integer number (11414053).

Almost surely, 266633337 is an apocalyptic number.

It is an amenable number.

66633337 is a deficient number, since it is larger than the sum of its proper divisors (1850981).

66633337 is an equidigital number, since it uses as much as digits as its factorization.

66633337 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48747 (or 48710 counting only the distinct ones).

The product of its digits is 122472, while the sum is 37.

The square root of 66633337 is about 8162.9245371987. The cubic root of 66633337 is about 405.4125491859.

It can be divided in two parts, 6663 and 3337, that added together give a 4-th power (10000 = 104).

The spelling of 66633337 in words is "sixty-six million, six hundred thirty-three thousand, three hundred thirty-seven".

Divisors: 1 37 1369 48673 1800901 66633337