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6923003904 = 211364637
BaseRepresentation
bin1100111001010010…
…01010100000000000
3122212110212001000000
412130221022200000
5103134242111104
63102544000000
7333362363565
oct63451124000
918773761000
106923003904
112a32945333
121412600000
13864387c1b
1449963686c
152a7baa639
hex19ca4a800

6923003904 has 168 divisors, whose sum is σ = 20758922730. Its totient is φ = 2307170304.

The previous prime is 6923003869. The next prime is 6923003911. The reversal of 6923003904 is 4093003296.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 6456443904 + 466560000 = 80352^2 + 21600^2 .

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

It is an unprimeable number.

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 13 ways as a sum of consecutive naturals, for example, 1490674 + ... + 1495310.

Almost surely, 26923003904 is an apocalyptic number.

6923003904 is a gapful number since it is divisible by the number (64) 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 6923003904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10379461365).

6923003904 is an abundant number, since it is smaller than the sum of its proper divisors (13835918826).

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

6923003904 is an frugal number, since it uses more digits than its factorization.

6923003904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4677 (or 4642 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 6923003904 is about 83204.5906425841. The cubic root of 6923003904 is about 1905.8915833976.

The spelling of 6923003904 in words is "six billion, nine hundred twenty-three million, three thousand, nine hundred four".