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4656246066 = 233316734133
BaseRepresentation
bin1000101011000100…
…01010110100110010
3110000111112210211000
410111202022310302
534013444333231
62050011302430
7223246303263
oct42542126462
913014483730
104656246066
111a7a36964a
12a9b44aa16
135928816b4
1432257c96a
151c3ba36e6
hex11588ad32

4656246066 has 64 divisors (see below), whose sum is σ = 10699453440. Its totient is φ = 1499420160.

The previous prime is 4656245999. The next prime is 4656246103. The reversal of 4656246066 is 6606426564.

4656246066 is a `hidden beast` number, since 46 + 562 + 46 + 0 + 6 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1124536 + ... + 1128668.

It is an arithmetic number, because the mean of its divisors is an integer number (167178960).

Almost surely, 24656246066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4656246066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5349726720).

4656246066 is an abundant number, since it is smaller than the sum of its proper divisors (6043207374).

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

4656246066 is a wasteful number, since it uses less digits than its factorization.

4656246066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4848 (or 4842 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The square root of 4656246066 is about 68236.6914936532. The cubic root of 4656246066 is about 1669.8545376307.

The spelling of 4656246066 in words is "four billion, six hundred fifty-six million, two hundred forty-six thousand, sixty-six".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 186 279 558 673 837 1346 1674 2019 4038 4133 6057 8266 12114 12399 18171 20863 24798 36342 37197 41726 62589 74394 111591 125178 128123 187767 223182 256246 375534 384369 563301 768738 1126602 1153107 2306214 2781509 3459321 5563018 6918642 8344527 16689054 25033581 50067162 75100743 86226779 150201486 172453558 258680337 517360674 776041011 1552082022 2328123033 4656246066