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4678714368 = 21032507673
BaseRepresentation
bin1000101101101111…
…11000010000000000
3110002001211022112100
410112313320100000
534040222324433
62052133030400
7223641262446
oct42667702000
913061738470
104678714368
111a91015399
12aa6a85400
1359741a453
1432554ab96
151c5b40b13
hex116df8400

4678714368 has 66 divisors (see below), whose sum is σ = 13509712814. Its totient is φ = 1559568384.

The previous prime is 4678714363. The next prime is 4678714423. The reversal of 4678714368 is 8634178764.

4678714368 is a `hidden beast` number, since 467 + 87 + 1 + 43 + 68 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4671995904 + 6718464 = 68352^2 + 2592^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (4678714361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 244621 + ... + 263052.

Almost surely, 24678714368 is an apocalyptic number.

4678714368 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4678714368 is an abundant number, since it is smaller than the sum of its proper divisors (8830998446).

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

4678714368 is a wasteful number, since it uses less digits than its factorization.

4678714368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507699 (or 507678 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The square root of 4678714368 is about 68401.1284117448. The cubic root of 4678714368 is about 1672.5361405718.

The spelling of 4678714368 in words is "four billion, six hundred seventy-eight million, seven hundred fourteen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 4608 9216 507673 1015346 1523019 2030692 3046038 4061384 4569057 6092076 8122768 9138114 12184152 16245536 18276228 24368304 32491072 36552456 48736608 64982144 73104912 97473216 129964288 146209824 194946432 259928576 292419648 389892864 519857152 584839296 779785728 1169678592 1559571456 2339357184 4678714368