Search a number
-
+
19640613828 = 223113113273617
BaseRepresentation
bin10010010010101010…
…111111101111000100
31212200210021120002210
4102102222333233010
5310210444120303
613004530303420
71263466314543
oct222252775704
955623246083
1019640613828
118369683960
123981727b70
131b100b63b4
14d4469415a
1579e42b203
hex492abfbc4

19640613828 has 96 divisors (see below), whose sum is σ = 51660177408. Its totient is φ = 5753779200.

The previous prime is 19640613827. The next prime is 19640613841. The reversal of 19640613828 is 82831604691.

It is not an unprimeable number, because it can be changed into a prime (19640613821) 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 31 ways as a sum of consecutive naturals, for example, 5428276 + ... + 5431892.

It is an arithmetic number, because the mean of its divisors is an integer number (538126848).

Almost surely, 219640613828 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 19640613828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25830088704).

19640613828 is an abundant number, since it is smaller than the sum of its proper divisors (32019563580).

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

19640613828 is a wasteful number, since it uses less digits than its factorization.

19640613828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4993 (or 4991 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The spelling of 19640613828 in words is "nineteen billion, six hundred forty million, six hundred thirteen thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 124 132 186 341 372 682 1023 1327 1364 2046 2654 3617 3981 4092 5308 7234 7962 10851 14468 14597 15924 21702 29194 39787 41137 43404 43791 58388 79574 82274 87582 112127 119361 123411 159148 164548 175164 224254 238722 246822 336381 448508 452507 477444 493644 672762 905014 1233397 1345524 1357521 1810028 2466794 2715042 3700191 4799759 4933588 5430084 7400382 9599518 14399277 14800764 19199036 28798554 52797349 57597108 105594698 148792529 158392047 211189396 297585058 316784094 446377587 595170116 633568188 892755174 1636717819 1785510348 3273435638 4910153457 6546871276 9820306914 19640613828