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4618676980 = 2253173310163
BaseRepresentation
bin1000100110100101…
…10110101011110100
3102220212212002201101
410103102312223310
533424340130410
62042150135444
7222312051361
oct42322665364
912825762641
104618676980
111a60139415
12a8a951584
13587b59478
1431b59d468
151c0731d3a
hex1134b6af4

4618676980 has 48 divisors (see below), whose sum is σ = 10026745344. Its totient is φ = 1785260160.

The previous prime is 4618676971. The next prime is 4618676987. The reversal of 4618676980 is 896768164.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4618676987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 449379 + ... + 459541.

It is an arithmetic number, because the mean of its divisors is an integer number (208890528).

Almost surely, 24618676980 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 4618676980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5013372672).

4618676980 is an abundant number, since it is smaller than the sum of its proper divisors (5408068364).

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

4618676980 is a wasteful number, since it uses less digits than its factorization.

4618676980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10936 (or 10934 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 55.

The square root of 4618676980 is about 67960.8488763935. The cubic root of 4618676980 is about 1665.3513108877.

The spelling of 4618676980 in words is "four billion, six hundred eighteen million, six hundred seventy-six thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 733 1466 2932 3665 7330 10163 14660 20326 22723 40652 45446 50815 90892 101630 113615 203260 227230 315053 454460 630106 1260212 1575265 3150530 6301060 7449479 14898958 29797916 37247395 74494790 148989580 230933849 461867698 923735396 1154669245 2309338490 4618676980