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4666171664 = 247115996323
BaseRepresentation
bin1000101100010000…
…00010000100010000
3110001012020002011202
410112020002010100
534024014443124
62051004130332
7223426543010
oct42610020420
913035202152
104666171664
111a84a28920
12aa28369a8
1359494842b
14323a03c40
151c49b45ae
hex116202110

4666171664 has 80 divisors (see below), whose sum is σ = 11292134400. Its totient is φ = 1814666880.

The previous prime is 4666171663. The next prime is 4666171669. The reversal of 4666171664 is 4661716664.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4666171663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 734807 + ... + 741129.

It is an arithmetic number, because the mean of its divisors is an integer number (141151680).

Almost surely, 24666171664 is an apocalyptic number.

4666171664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4666171664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5646067200).

4666171664 is an abundant number, since it is smaller than the sum of its proper divisors (6625962736).

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

4666171664 is a wasteful number, since it uses less digits than its factorization.

4666171664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6948 (or 6942 counting only the distinct ones).

The product of its digits is 870912, while the sum is 47.

The square root of 4666171664 is about 68309.3819617774. The cubic root of 4666171664 is about 1671.0402239502.

The spelling of 4666171664 in words is "four billion, six hundred sixty-six million, one hundred seventy-one thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 599 616 1198 1232 2396 4193 4792 6323 6589 8386 9584 12646 13178 16772 25292 26356 33544 44261 46123 50584 52712 67088 69553 88522 92246 101168 105424 139106 177044 184492 278212 354088 368984 486871 556424 708176 737968 973742 1112848 1947484 3787477 3894968 7574954 7789936 15149908 26512339 30299816 41662247 53024678 60599632 83324494 106049356 166648988 212098712 291635729 333297976 424197424 583271458 666595952 1166542916 2333085832 4666171664