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5683353984 = 27367211113
BaseRepresentation
bin1010100101100000…
…10001100110000000
3112200002020022000000
411102300101212000
543114414311414
62335542000000
7260560466100
oct52260214600
915602208000
105683353984
112457117a70
121127416000
136c75c0369
143bcb45200
15233e3bb09
hex152c11980

5683353984 has 672 divisors, whose sum is σ = 21733080840. Its totient is φ = 1463132160.

The previous prime is 5683353983. The next prime is 5683354007. The reversal of 5683353984 is 4893533865.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-3 number, since 3×56833539843 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 5683353984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5683353983) by changing a digit.

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 83 ways as a sum of consecutive naturals, for example, 50295112 + ... + 50295224.

Almost surely, 25683353984 is an apocalyptic number.

5683353984 is a gapful number since it is divisible by the number (54) 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 5683353984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10866540420).

5683353984 is an abundant number, since it is smaller than the sum of its proper divisors (16049726856).

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

5683353984 is a wasteful number, since it uses less digits than its factorization.

5683353984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 136 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 54.

The square root of 5683353984 is about 75388.0228152987. The cubic root of 5683353984 is about 1784.5754007384.

The spelling of 5683353984 in words is "five billion, six hundred eighty-three million, three hundred fifty-three thousand, nine hundred eighty-four".