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616652101 = 13217375801
BaseRepresentation
bin100100110000010…
…101110101000101
31120222100011122201
4210300111311011
52230330331401
6141104554501
721165312352
oct4460256505
91528304581
10616652101
112970a193a
12152622a31
139a9a9200
145bc7d629
153920bb01
hex24c15d45

616652101 has 24 divisors (see below), whose sum is σ = 726247944. Its totient is φ = 521164800.

The previous prime is 616652089. The next prime is 616652123. The reversal of 616652101 is 101256616.

It can be written as a sum of positive squares in 12 ways, for example, as 4040100 + 612612001 = 2010^2 + 24751^2 .

It is not a de Polignac number, because 616652101 - 221 = 614554949 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 616652101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (616652161) by changing a digit.

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, 103401 + ... + 109201.

It is an arithmetic number, because the mean of its divisors is an integer number (30260331).

Almost surely, 2616652101 is an apocalyptic number.

It is an amenable number.

616652101 is a deficient number, since it is larger than the sum of its proper divisors (109595843).

616652101 is a wasteful number, since it uses less digits than its factorization.

616652101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5881 (or 5868 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 616652101 is about 24832.4807661256. The cubic root of 616652101 is about 851.1643103089.

The spelling of 616652101 in words is "six hundred sixteen million, six hundred fifty-two thousand, one hundred one".

Divisors: 1 13 17 37 169 221 481 629 2873 5801 6253 8177 75413 98617 106301 214637 980369 1282021 2790281 3648829 16666273 36273653 47434777 616652101