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2398196768 = 251127872
BaseRepresentation
bin1000111011110001…
…1001010000100000
320012010122000111112
42032330121100200
514402414244033
61033545402452
7113300223212
oct21674312040
96163560445
102398196768
1110207a0800
1256b199428
132c2b06c56
1418a7105b2
15e081bc48
hex8ef19420

2398196768 has 54 divisors (see below), whose sum is σ = 5196295503. Its totient is φ = 1088704320.

The previous prime is 2398196747. The next prime is 2398196791. The reversal of 2398196768 is 8676918932.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 1199098384 + 1199098384 = 34628^2 + 34628^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=34628.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3046871 + ... + 3047657.

Almost surely, 22398196768 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 2398196768

2398196768 is an abundant number, since it is smaller than the sum of its proper divisors (2798098735).

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

2398196768 is an frugal number, since it uses more digits than its factorization.

2398196768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1606 (or 800 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 59.

The square root of 2398196768 is about 48971.3872378555. The cubic root of 2398196768 is about 1338.5304986723.

The spelling of 2398196768 in words is "two billion, three hundred ninety-eight million, one hundred ninety-six thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 787 968 1574 1936 3148 3872 6296 8657 12592 17314 25184 34628 69256 95227 138512 190454 277024 380908 619369 761816 1238738 1523632 2477476 3047264 4954952 6813059 9909904 13626118 19819808 27252236 54504472 74943649 109008944 149887298 218017888 299774596 599549192 1199098384 2398196768