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2918243328 = 210371113273
BaseRepresentation
bin1010110111110000…
…1101110000000000
321112101012010021020
42231330031300000
521434032241303
61201324025440
7132213442020
oct25574156000
97471163236
102918243328
1112682aa450
12695392280
1337678a700
141d9803a80
151212e4a53
hexadf0dc00

2918243328 has 528 divisors, whose sum is σ = 10644662016. Its totient is φ = 690094080.

The previous prime is 2918243323. The next prime is 2918243333. The reversal of 2918243328 is 8233428192.

It is an interprime number because it is at equal distance from previous prime (2918243323) and next prime (2918243333).

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-2 number, since 2×29182433282 = 17032288242833031168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 2918243328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2918243323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39975900 + ... + 39975972.

Almost surely, 22918243328 is an apocalyptic number.

2918243328 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 2918243328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5322331008).

2918243328 is an abundant number, since it is smaller than the sum of its proper divisors (7726418688).

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

2918243328 is a wasteful number, since it uses less digits than its factorization.

2918243328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 109 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 2918243328 is about 54020.7675621145. The cubic root of 2918243328 is about 1429.0272171852.

The spelling of 2918243328 in words is "two billion, nine hundred eighteen million, two hundred forty-three thousand, three hundred twenty-eight".