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4680496314 = 2321359347977
BaseRepresentation
bin1000101101111101…
…01011010010111010
3110002012011211220100
410112332223102322
534041201340224
62052235140230
7223662363564
oct42676532272
913065154810
104680496314
111a9202217a
12aa75a4676
135978c2560
14325892334
151c5d93ac9
hex116fab4ba

4680496314 has 96 divisors (see below), whose sum is σ = 11149669440. Its totient is φ = 1410218496.

The previous prime is 4680496307. The next prime is 4680496319. The reversal of 4680496314 is 4136940864.

4680496314 is a `hidden beast` number, since 4 + 6 + 8 + 0 + 4 + 9 + 631 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4680496314.

It is not an unprimeable number, because it can be changed into a prime (4680496319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4790194 + ... + 4791170.

It is an arithmetic number, because the mean of its divisors is an integer number (116142390).

Almost surely, 24680496314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4680496314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5574834720).

4680496314 is an abundant number, since it is smaller than the sum of its proper divisors (6469173126).

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

4680496314 is a wasteful number, since it uses less digits than its factorization.

4680496314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1404 (or 1401 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 4680496314 is about 68414.1528778951. The cubic root of 4680496314 is about 1672.7484489512.

The spelling of 4680496314 in words is "four billion, six hundred eighty million, four hundred ninety-six thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 59 78 117 118 177 234 347 354 531 694 767 977 1041 1062 1534 1954 2082 2301 2931 3123 4511 4602 5862 6246 6903 8793 9022 12701 13533 13806 17586 20473 25402 27066 38103 40599 40946 57643 61419 76206 81198 114309 115286 122838 172929 184257 228618 266149 339019 345858 368514 518787 532298 678038 749359 798447 1017057 1037574 1498718 1596894 2034114 2248077 2395341 3051171 4407247 4496154 4790682 6102342 6744231 8814494 13221741 13488462 20002121 26443482 39665223 40004242 60006363 79330446 120012726 180019089 260027573 360038178 520055146 780082719 1560165438 2340248157 4680496314