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2918496420 = 2234571715139
BaseRepresentation
bin1010110111110100…
…1011100010100100
321112101122222110000
42231331023202210
521434113341140
61201333301300
7132215544630
oct25575134244
97471588400
102918496420
111268462614
12695494830
13376848978
141d986bdc0
15121344a30
hexadf4b8a4

2918496420 has 240 divisors, whose sum is σ = 11079573120. Its totient is φ = 627803136.

The previous prime is 2918496391. The next prime is 2918496431. The reversal of 2918496420 is 246948192.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 79 ways as a sum of consecutive naturals, for example, 185211 + ... + 200349.

It is an arithmetic number, because the mean of its divisors is an integer number (46164888).

Almost surely, 22918496420 is an apocalyptic number.

2918496420 is a gapful number since it is divisible by the number (20) 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 2918496420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5539786560).

2918496420 is an abundant number, since it is smaller than the sum of its proper divisors (8161076700).

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

2918496420 is a wasteful number, since it uses less digits than its factorization.

2918496420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15184 (or 15173 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 2918496420 is about 54023.1100548645. The cubic root of 2918496420 is about 1429.0685279854.

The spelling of 2918496420 in words is "two billion, nine hundred eighteen million, four hundred ninety-six thousand, four hundred twenty".