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4586020968 = 2332360713687
BaseRepresentation
bin1000100010101100…
…10010000001101000
3102211121102000002110
410101112102001220
533343010132333
62035022202320
7221434351344
oct42126220150
912747360073
104586020968
111a43764481
12a7ba233a0
13581164599
143170dc624
151bc931063
hex111592068

4586020968 has 64 divisors (see below), whose sum is σ = 11984117760. Its totient is φ = 1459694016.

The previous prime is 4586020961. The next prime is 4586020969. The reversal of 4586020968 is 8690206854.

It is a happy number.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (4586020961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 328221 + ... + 341907.

It is an arithmetic number, because the mean of its divisors is an integer number (187251840).

Almost surely, 24586020968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4586020968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5992058880).

4586020968 is an abundant number, since it is smaller than the sum of its proper divisors (7398096792).

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

4586020968 is a wasteful number, since it uses less digits than its factorization.

4586020968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14326 (or 14322 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The square root of 4586020968 is about 67720.1666270838. The cubic root of 4586020968 is about 1661.4171099235.

The spelling of 4586020968 in words is "four billion, five hundred eighty-six million, twenty thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 552 607 1214 1821 2428 3642 4856 7284 13687 13961 14568 27374 27922 41061 41883 54748 55844 82122 83766 109496 111688 164244 167532 314801 328488 335064 629602 944403 1259204 1888806 2518408 3777612 7555224 8308009 16616018 24924027 33232036 49848054 66464072 99696108 191084207 199392216 382168414 573252621 764336828 1146505242 1528673656 2293010484 4586020968