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2099263488 = 21137219367
BaseRepresentation
bin111110100100000…
…0011100000000000
312102022010122010120
41331020003200000
513244402412423
6544150300240
7103010305500
oct17510034000
95368118116
102099263488
11987a85803
124a7057680
13275bc085a
1415cb37a00
15c446dee3
hex7d203800

2099263488 has 288 divisors, whose sum is σ = 6871737600. Its totient is φ = 566673408.

The previous prime is 2099263477. The next prime is 2099263519. The reversal of 2099263488 is 8843629902.

It is a super-2 number, since 2×20992634882 = 8813814384099852288, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2099263488.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5719881 + ... + 5720247.

It is an arithmetic number, because the mean of its divisors is an integer number (23860200).

Almost surely, 22099263488 is an apocalyptic number.

2099263488 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2099263488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3435868800).

2099263488 is an abundant number, since it is smaller than the sum of its proper divisors (4772474112).

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

2099263488 is a wasteful number, since it uses less digits than its factorization.

2099263488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The square root of 2099263488 is about 45817.7202400992. The cubic root of 2099263488 is about 1280.4294392406.

The spelling of 2099263488 in words is "two billion, ninety-nine million, two hundred sixty-three thousand, four hundred eighty-eight".