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41604659856 = 243679163277
BaseRepresentation
bin100110101111110101…
…001011101010010000
310222101111111201000000
4212233311023222100
51140201243103411
631040220130000
73002000526264
oct465765135220
9128344451000
1041604659856
111670a822811
128091396900
133c0065a336
1420297560a4
151137806956
hex9afd4ba90

41604659856 has 280 divisors, whose sum is σ = 123583498880. Its totient is φ = 13559539968.

The previous prime is 41604659809. The next prime is 41604659939. The reversal of 41604659856 is 65895640614.

41604659856 is a `hidden beast` number, since 4 + 1 + 6 + 0 + 46 + 598 + 5 + 6 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 150197190 + ... + 150197466.

Almost surely, 241604659856 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 41604659856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61791749440).

41604659856 is an abundant number, since it is smaller than the sum of its proper divisors (81978839024).

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

41604659856 is a wasteful number, since it uses less digits than its factorization.

41604659856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 41604659856 in words is "forty-one billion, six hundred four million, six hundred fifty-nine thousand, eight hundred fifty-six".