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4445146601 = 71813799257
BaseRepresentation
bin1000010001111001…
…11000110111101001
3102110210022211210022
410020330320313221
533100424142401
62013030530225
7215104060040
oct41074706751
912423284708
104445146601
111981195485
12a40806975
1355ac0c27c
1430250b557
151b03a571b
hex108f38de9

4445146601 has 16 divisors (see below), whose sum is σ = 5122266240. Its totient is φ = 3778669440.

The previous prime is 4445146591. The next prime is 4445146619. The reversal of 4445146601 is 1066415444.

It is a de Polignac number, because none of the positive numbers 2k-4445146601 is a prime.

It is a super-3 number, since 3×44451466013 (a number of 30 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (4445146631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 475565 + ... + 484821.

It is an arithmetic number, because the mean of its divisors is an integer number (320141640).

Almost surely, 24445146601 is an apocalyptic number.

It is an amenable number.

4445146601 is a deficient number, since it is larger than the sum of its proper divisors (677119639).

4445146601 is a wasteful number, since it uses less digits than its factorization.

4445146601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9824.

The product of its (nonzero) digits is 46080, while the sum is 35.

The square root of 4445146601 is about 66671.9326328553. The cubic root of 4445146601 is about 1644.2279616765.

The spelling of 4445146601 in words is "four billion, four hundred forty-five million, one hundred forty-six thousand, six hundred one".

Divisors: 1 7 181 379 1267 2653 9257 64799 68599 480193 1675517 3508403 11728619 24558821 635020943 4445146601