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41532060528 = 2434721723173
BaseRepresentation
bin100110101011100000…
…001111001101110000
310222012102220021110000
4212223200033031300
51140024201414103
631025104110000
73000126455400
oct465340171560
9128172807400
1041532060528
1116682846872
128071005300
133bbb5bb65a
14201dc58800
151131265aa3
hex9ab80f370

41532060528 has 900 divisors, whose sum is σ = 155432557632. Its totient is φ = 10659962880.

The previous prime is 41532060527. The next prime is 41532060541. The reversal of 41532060528 is 82506023514.

41532060528 is a `hidden beast` number, since 4 + 1 + 5 + 3 + 20 + 605 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 41532060492 and 41532060501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41532060523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 568932300 + ... + 568932372.

Almost surely, 241532060528 is an apocalyptic number.

41532060528 is a gapful number since it is divisible by the number (48) 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 41532060528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77716278816).

41532060528 is an abundant number, since it is smaller than the sum of its proper divisors (113900497104).

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

41532060528 is a wasteful number, since it uses less digits than its factorization.

41532060528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 41532060528 in words is "forty-one billion, five hundred thirty-two million, sixty thousand, five hundred twenty-eight".