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2098380128 = 251322922027
BaseRepresentation
bin111110100010010…
…1011110101100000
312102020110202101112
41331010223311200
513244141131003
6544115322452
7102666636215
oct17504536540
95366422345
102098380128
11987532059
124a68b0428
13275971760
1415c987b0c
15c43473d8
hex7d12bd60

2098380128 has 48 divisors (see below), whose sum is σ = 4468600080. Its totient is φ = 964210176.

The previous prime is 2098380113. The next prime is 2098380131. The reversal of 2098380128 is 8210838902.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84251 + ... + 106277.

It is an arithmetic number, because the mean of its divisors is an integer number (93095835).

Almost surely, 22098380128 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 2098380128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2234300040).

2098380128 is an abundant number, since it is smaller than the sum of its proper divisors (2370219952).

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

2098380128 is a wasteful number, since it uses less digits than its factorization.

2098380128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22279 (or 22271 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 41.

The square root of 2098380128 is about 45808.0792873921. The cubic root of 2098380128 is about 1280.2498145224.

The spelling of 2098380128 in words is "two billion, ninety-eight million, three hundred eighty thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 229 416 458 916 1832 2977 3664 5954 7328 11908 22027 23816 44054 47632 88108 95264 176216 286351 352432 572702 704864 1145404 2290808 4581616 5044183 9163232 10088366 20176732 40353464 65574379 80706928 131148758 161413856 262297516 524595032 1049190064 2098380128