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2112923904 = 2837313617
BaseRepresentation
bin111110111110000…
…1010100100000000
312110020211122200220
41331330022210000
513311402031104
6545355143040
7103234362000
oct17574124400
95406748626
102112923904
11994766003
124ab744a80
13278994540
14160892000
15c576b7d9
hex7df0a900

2112923904 has 288 divisors, whose sum is σ = 7073875200. Its totient is φ = 556351488.

The previous prime is 2112923893. The next prime is 2112923929. The reversal of 2112923904 is 4093292112.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3424204 + ... + 3424820.

Almost surely, 22112923904 is an apocalyptic number.

2112923904 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 2112923904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3536937600).

2112923904 is an abundant number, since it is smaller than the sum of its proper divisors (4960951296).

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

2112923904 is an equidigital number, since it uses as much as digits as its factorization.

2112923904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 2112923904 is about 45966.5520133934. The cubic root of 2112923904 is about 1283.2007914540.

The spelling of 2112923904 in words is "two billion, one hundred twelve million, nine hundred twenty-three thousand, nine hundred four".