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646612146 = 23419320681
BaseRepresentation
bin100110100010101…
…000010010110010
31200001201022010000
4212202220102302
52311013042041
6144055050430
722011053415
oct4642502262
91601638100
10646612146
11301aa5304
12160670a16
13a3c68c4b
1461c3bb7c
153bb78bb6
hex268a84b2

646612146 has 40 divisors (see below), whose sum is σ = 1456467804. Its totient is φ = 214410240.

The previous prime is 646612121. The next prime is 646612147. The reversal of 646612146 is 641216646.

646612146 is a `hidden beast` number, since 646 + 6 + 1 + 2 + 1 + 4 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 559842921 + 86769225 = 23661^2 + 9315^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 646612146.

It is not an unprimeable number, because it can be changed into a prime (646612147) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 20926 + ... + 41606.

Almost surely, 2646612146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 646612146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728233902).

646612146 is an abundant number, since it is smaller than the sum of its proper divisors (809855658).

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

646612146 is a wasteful number, since it uses less digits than its factorization.

646612146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20888 (or 20879 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 646612146 is about 25428.5694839486. The cubic root of 646612146 is about 864.7315130066.

The spelling of 646612146 in words is "six hundred forty-six million, six hundred twelve thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 27 54 81 162 193 386 579 1158 1737 3474 5211 10422 15633 20681 31266 41362 62043 124086 186129 372258 558387 1116774 1675161 3350322 3991433 7982866 11974299 23948598 35922897 71845794 107768691 215537382 323306073 646612146