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8344128820 = 22529110313043
BaseRepresentation
bin1111100010101100…
…10100110100110100
3210112111221122220011
413301112110310310
5114042044110240
63455551350004
7413526632116
oct76126246464
923474848804
108344128820
1135a2052535
12174a522304
13a2c921b41
145922873b6
1533c8246ea
hex1f1594d34

8344128820 has 48 divisors (see below), whose sum is σ = 18144725760. Its totient is φ = 3219391616.

The previous prime is 8344128797. The next prime is 8344128839. The reversal of 8344128820 is 288214438.

It is a congruent number.

It is an unprimeable number.

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, 633219 + ... + 646261.

It is an arithmetic number, because the mean of its divisors is an integer number (378015120).

Almost surely, 28344128820 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 8344128820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9072362880).

8344128820 is an abundant number, since it is smaller than the sum of its proper divisors (9800596940).

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

8344128820 is a wasteful number, since it uses less digits than its factorization.

8344128820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14184 (or 14182 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 40.

The square root of 8344128820 is about 91346.2030956952. The cubic root of 8344128820 is about 2028.2757584915.

The spelling of 8344128820 in words is "eight billion, three hundred forty-four million, one hundred twenty-eight thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 1103 2206 4412 5515 11030 13043 22060 26086 31987 52172 63974 65215 127948 130430 159935 260860 319870 378247 639740 756494 1512988 1891235 3782470 7564940 14386429 28772858 57545716 71932145 143864290 287728580 417206441 834412882 1668825764 2086032205 4172064410 8344128820