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5779490563392 = 2637213291739419
BaseRepresentation
bin101010000011010010001…
…1110110110010101000000
3202110111212122010112111120
41110012210132312111000
51224142344041012032
620143021124312240
71134361110141300
oct124064436662500
922414778115446
105779490563392
11192908282aa47
1279412b842680
1332c007c58920
1415da2bcd5600
15a05101b862c
hex541a47b6540

5779490563392 has 672 divisors, whose sum is σ = 19933704201600. Its totient is φ = 1463038230528.

The previous prime is 5779490563387. The next prime is 5779490563423. The reversal of 5779490563392 is 2933650949775.

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

It is a super-2 number, since 2×57794905633922 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 613594459 + ... + 613603877.

It is an arithmetic number, because the mean of its divisors is an integer number (29663250300).

Almost surely, 25779490563392 is an apocalyptic number.

5779490563392 is a gapful number since it is divisible by the number (52) 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 5779490563392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9966852100800).

5779490563392 is an abundant number, since it is smaller than the sum of its proper divisors (14154213638208).

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

5779490563392 is a wasteful number, since it uses less digits than its factorization.

5779490563392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9663 (or 9646 counting only the distinct ones).

The product of its (nonzero) digits is 385786800, while the sum is 69.

The spelling of 5779490563392 in words is "five trillion, seven hundred seventy-nine billion, four hundred ninety million, five hundred sixty-three thousand, three hundred ninety-two".