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2098151424 = 214351731
BaseRepresentation
bin111110100001111…
…0100000000000000
312102020001010200000
41331003310000000
513244111321144
6544110400000
7102664664355
oct17503640000
95366033600
102098151424
11987396246
124a6800000
132758c1625
1415c92862c
15c42ee769
hex7d0f4000

2098151424 has 360 divisors, whose sum is σ = 6870060288. Its totient is φ = 637009920.

The previous prime is 2098151423. The next prime is 2098151449. The reversal of 2098151424 is 4241518902.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2098151423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67682289 + ... + 67682319.

Almost surely, 22098151424 is an apocalyptic number.

2098151424 is a gapful number since it is divisible by the number (24) 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 2098151424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3435030144).

2098151424 is an abundant number, since it is smaller than the sum of its proper divisors (4771908864).

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

2098151424 is an frugal number, since it uses more digits than its factorization.

2098151424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 2098151424 is about 45805.5828911717. The cubic root of 2098151424 is about 1280.2033010415.

The spelling of 2098151424 in words is "two billion, ninety-eight million, one hundred fifty-one thousand, four hundred twenty-four".