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96042006528 = 21131367131137
BaseRepresentation
bin101100101110010001…
…1001011100000000000
3100011220022222102220220
41121130203023200000
53033143223202103
6112042053303040
76640003404636
oct1313443134000
9304808872826
1096042006528
1137805233016
1216744334a80
139097807c80
144911523356
152771a10c53
hex165c8cb800

96042006528 has 384 divisors, whose sum is σ = 284055932160. Its totient is φ = 28677242880.

The previous prime is 96042006527. The next prime is 96042006539. The reversal of 96042006528 is 82560024069.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×960420065282 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 96042006528.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96042006523) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 701036476 + ... + 701036612.

It is an arithmetic number, because the mean of its divisors is an integer number (739728990).

Almost surely, 296042006528 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 96042006528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142027966080).

96042006528 is an abundant number, since it is smaller than the sum of its proper divisors (188013925632).

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

96042006528 is a wasteful number, since it uses less digits than its factorization.

96042006528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 96042006528 in words is "ninety-six billion, forty-two million, six thousand, five hundred twenty-eight".