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7263023040 = 26325721337107
BaseRepresentation
bin1101100001110100…
…01110111111000000
3200202011122210120100
412300322032333000
5104333313214130
63200411442400
7344661451200
oct66072167700
920664583510
107263023040
113097872789
1214a8456400
138b9958190
144cc866400
152c7971c60
hex1b0e8efc0

7263023040 has 1008 divisors, whose sum is σ = 32442070752. Its totient is φ = 1477066752.

The previous prime is 7263023021. The next prime is 7263023057. The reversal of 7263023040 is 403203627.

7263023040 is a `hidden beast` number, since 7 + 2 + 630 + 23 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a junction number, because it is equal to n+sod(n) for n = 7263022995 and 7263023013.

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 67878667 + ... + 67878773.

It is an arithmetic number, because the mean of its divisors is an integer number (32184594).

Almost surely, 27263023040 is an apocalyptic number.

7263023040 is a gapful number since it is divisible by the number (70) 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 7263023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16221035376).

7263023040 is an abundant number, since it is smaller than the sum of its proper divisors (25179047712).

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

7263023040 is a wasteful number, since it uses less digits than its factorization.

7263023040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 7263023040 is about 85223.3714423456. The cubic root of 7263023040 is about 1936.5964910621.

Adding to 7263023040 its reverse (403203627), we get a palindrome (7666226667).

The spelling of 7263023040 in words is "seven billion, two hundred sixty-three million, twenty-three thousand, forty".