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57027855983616 = 2103572313157
BaseRepresentation
bin11001111011101110101010…
…00110010010010000000000
321110220210212100001211100000
430331313111012102100000
524433321022112433431
6321142122501200000
715004061301556500
oct1475672506222000
9243823770054300
1057027855983616
1117197417a981a1
126490469700000
1325a891c183b3b
14101223d221a00
1568d65ab289e6
hex33ddd5192400

57027855983616 has 1584 divisors, whose sum is σ = 206574266476032. Its totient is φ = 15667637207040.

The previous prime is 57027855983533. The next prime is 57027855983639. The reversal of 57027855983616 is 61638955872075.

57027855983616 is a `hidden beast` number, since 5 + 7 + 0 + 2 + 7 + 8 + 559 + 8 + 3 + 61 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 363234751410 + ... + 363234751566.

Almost surely, 257027855983616 is an apocalyptic number.

57027855983616 is a gapful number since it is divisible by the number (56) 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 57027855983616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103287133238016).

57027855983616 is an abundant number, since it is smaller than the sum of its proper divisors (149546410492416).

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

57027855983616 is an frugal number, since it uses more digits than its factorization.

57027855983616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 762048000, while the sum is 72.

The spelling of 57027855983616 in words is "fifty-seven trillion, twenty-seven billion, eight hundred fifty-five million, nine hundred eighty-three thousand, six hundred sixteen".