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8421891012 = 22323753119297
BaseRepresentation
bin1111101011111101…
…11101101111000100
3210201221021101120100
413311332331233010
5114222001003022
63511410204100
7415462615053
oct76576755704
923657241510
108421891012
113631a35407
121770583630
13a42a7a782
1459c72a39a
153445851ac
hex1f5fbdbc4

8421891012 has 72 divisors (see below), whose sum is σ = 22276754136. Its totient is φ = 2679865344.

The previous prime is 8421891011. The next prime is 8421891019. The reversal of 8421891012 is 2101981248.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6245108676 + 2176782336 = 79026^2 + 46656^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (8421891011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10948 + ... + 130244.

It is an arithmetic number, because the mean of its divisors is an integer number (309399363).

Almost surely, 28421891012 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 8421891012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11138377068).

8421891012 is an abundant number, since it is smaller than the sum of its proper divisors (13854863124).

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

8421891012 is a wasteful number, since it uses less digits than its factorization.

8421891012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119397 (or 119392 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 8421891012 is about 91770.8614539495. The cubic root of 8421891012 is about 2034.5570504911.

The spelling of 8421891012 in words is "eight billion, four hundred twenty-one million, eight hundred ninety-one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 53 74 106 111 148 159 212 222 318 333 444 477 636 666 954 1332 1908 1961 3922 5883 7844 11766 17649 23532 35298 70596 119297 238594 357891 477188 715782 1073673 1431564 2147346 4294692 4413989 6322741 8827978 12645482 13241967 17655956 18968223 25290964 26483934 37936446 39725901 52967868 56904669 75872892 79451802 113809338 158903604 227618676 233941417 467882834 701824251 935765668 1403648502 2105472753 2807297004 4210945506 8421891012