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6506145607 = 1321511931321
BaseRepresentation
bin1100000111100101…
…11110011101000111
3121210102110102220211
412003302332131013
5101311033124412
62553333140251
7320141216353
oct60362763507
917712412824
106506145607
112839605545
121316a8a687
137c8bc3200
1445a124463
152812b6ca7
hex183cbe747

6506145607 has 24 divisors (see below), whose sum is σ = 7133913888. Its totient is φ = 5930496000.

The previous prime is 6506145589. The next prime is 6506145641. The reversal of 6506145607 is 7065416056.

It is a de Polignac number, because none of the positive numbers 2k-6506145607 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 6506145607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6506145647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4924507 + ... + 4925827.

It is an arithmetic number, because the mean of its divisors is an integer number (297246412).

Almost surely, 26506145607 is an apocalyptic number.

6506145607 is a deficient number, since it is larger than the sum of its proper divisors (627768281).

6506145607 is a wasteful number, since it uses less digits than its factorization.

6506145607 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1691 (or 1678 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 40.

The square root of 6506145607 is about 80660.6819150446. The cubic root of 6506145607 is about 1866.8435610033.

The spelling of 6506145607 in words is "six billion, five hundred six million, one hundred forty-five thousand, six hundred seven".

Divisors: 1 13 151 169 193 1321 1963 2509 17173 25519 29143 32617 199471 223249 254953 378859 2593123 3314389 4925167 33710599 38497903 43087057 500472739 6506145607