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5355837849600 = 220335272347
BaseRepresentation
bin100110111110000000011…
…0100000000000000000000
3200222000100112210210221000
41031330000310000000000
51200222223442141400
615220234332332000
71061642440402110
oct115740064000000
920860315723830
105355837849600
1117854419266a7
12725bb7314000
132cb090267164
1414731c699040
15944b702d600
hex4df00d00000

5355837849600 has 2016 divisors, whose sum is σ = 23965906083840. Its totient is φ = 1146051624960.

The previous prime is 5355837849569. The next prime is 5355837849601. The reversal of 5355837849600 is 69487385535.

5355837849600 is a `hidden beast` number, since 5 + 3 + 5 + 583 + 7 + 8 + 49 + 6 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5355837849601) 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 95 ways as a sum of consecutive naturals, for example, 113953996777 + ... + 113953996823.

It is an arithmetic number, because the mean of its divisors is an integer number (11887850240).

Almost surely, 25355837849600 is an apocalyptic number.

5355837849600 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 5355837849600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11982953041920).

5355837849600 is an abundant number, since it is smaller than the sum of its proper divisors (18610068234240).

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

5355837849600 is an frugal number, since it uses more digits than its factorization.

5355837849600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 108864000, while the sum is 63.

The spelling of 5355837849600 in words is "five trillion, three hundred fifty-five billion, eight hundred thirty-seven million, eight hundred forty-nine thousand, six hundred".