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5673096000 = 26325311131929
BaseRepresentation
bin1010100100010010…
…01001001101000000
3112122100221010200200
411102021021031000
543104303033000
62334534045200
7260404343325
oct52211111500
915570833620
105673096000
112451350aa0
121123aa9800
136c543b250
143bb634b4c
152330b2500
hex152249340

5673096000 has 1344 divisors, whose sum is σ = 25961644800. Its totient is φ = 1161216000.

The previous prime is 5673095983. The next prime is 5673096017. The reversal of 5673096000 is 6903765.

It is a happy number.

5673096000 is a `hidden beast` number, since 567 + 3 + 0 + 96 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5673095983) and next prime (5673096017).

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

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 195623986 + ... + 195624014.

It is an arithmetic number, because the mean of its divisors is an integer number (19316700).

Almost surely, 25673096000 is an apocalyptic number.

5673096000 is a gapful number since it is divisible by the number (50) 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 5673096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12980822400).

5673096000 is an abundant number, since it is smaller than the sum of its proper divisors (20288548800).

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

5673096000 is a wasteful number, since it uses less digits than its factorization.

5673096000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 5673096000 is about 75319.9575145924. The cubic root of 5673096000 is about 1783.5010837823.

Adding to 5673096000 its reverse (6903765), we get a palindrome (5679999765).

The spelling of 5673096000 in words is "five billion, six hundred seventy-three million, ninety-six thousand".