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5496434496000 = 2935537291741
BaseRepresentation
bin100111111111011110100…
…0001101001001000000000
3201110110020222012110200000
41033332331001221020000
51210023144212333000
615405005510400000
71105050525232230
oct117767501511000
921413228173600
105496434496000
11182a02aa88038
127492b4960000
1330b40861c456
14150059239cc0
1597e95309000
hex4ffbd069200

5496434496000 has 1920 divisors, whose sum is σ = 24286280578560. Its totient is φ = 1212309504000.

The previous prime is 5496434495939. The next prime is 5496434496017. The reversal of 5496434496000 is 6944346945.

5496434496000 is a `hidden beast` number, since 54 + 96 + 4 + 3 + 449 + 60 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3157055130 + ... + 3157056870.

It is an arithmetic number, because the mean of its divisors is an integer number (12649104468).

Almost surely, 25496434496000 is an apocalyptic number.

5496434496000 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 5496434496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12143140289280).

5496434496000 is an abundant number, since it is smaller than the sum of its proper divisors (18789846082560).

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

5496434496000 is an equidigital number, since it uses as much as digits as its factorization.

5496434496000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1825 (or 1787 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 5496434496000 in words is "five trillion, four hundred ninety-six billion, four hundred thirty-four million, four hundred ninety-six thousand".