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4618738960 = 245115248567
BaseRepresentation
bin1000100110100110…
…00101110100010000
3102220212222020201221
410103103011310100
533424344121320
62042151334424
7222312430153
oct42323056420
912825866657
104618738960
111a60180a40
12a8a981414
13587b7b744
1431b5b7c9a
151c07453aa
hex1134c5d10

4618738960 has 40 divisors (see below), whose sum is σ = 11714803776. Its totient is φ = 1679541120.

The previous prime is 4618738909. The next prime is 4618738963. The reversal of 4618738960 is 698378164.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4618738898 and 4618738907.

It is not an unprimeable number, because it can be changed into a prime (4618738963) 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 7 ways as a sum of consecutive naturals, for example, 2623404 + ... + 2625163.

Almost surely, 24618738960 is an apocalyptic number.

4618738960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4618738960 is an abundant number, since it is smaller than the sum of its proper divisors (7096064816).

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

4618738960 is a wasteful number, since it uses less digits than its factorization.

4618738960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5248591 (or 5248585 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 52.

The square root of 4618738960 is about 67961.3048726994. The cubic root of 4618738960 is about 1665.3587602080.

The spelling of 4618738960 in words is "four billion, six hundred eighteen million, seven hundred thirty-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 5248567 10497134 20994268 26242835 41988536 52485670 57734237 83977072 104971340 115468474 209942680 230936948 288671185 419885360 461873896 577342370 923747792 1154684740 2309369480 4618738960