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41427455616 = 273331735297
BaseRepresentation
bin100110100101010001…
…001100111010000000
310221221011001210111000
4212211101030322000
51134320412034431
631010450052000
72664416363661
oct464521147200
9127834053430
1041427455616
111662979a628
128041b7a000
133ba2a24b61
14200ddc9368
151126ea19e6
hex9a544ce80

41427455616 has 256 divisors, whose sum is σ = 127965772800. Its totient is φ = 13178142720.

The previous prime is 41427455603. The next prime is 41427455633. The reversal of 41427455616 is 61655472414.

41427455616 is a `hidden beast` number, since 4 + 1 + 4 + 27 + 4 + 5 + 5 + 616 = 666.

It is a super-3 number, since 3×414274556163 (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7818280 + ... + 7823576.

It is an arithmetic number, because the mean of its divisors is an integer number (499866300).

Almost surely, 241427455616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41427455616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63982886400).

41427455616 is an abundant number, since it is smaller than the sum of its proper divisors (86538317184).

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

41427455616 is a wasteful number, since it uses less digits than its factorization.

41427455616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5424 (or 5406 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The spelling of 41427455616 in words is "forty-one billion, four hundred twenty-seven million, four hundred fifty-five thousand, six hundred sixteen".