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9042823680 = 293511237263
BaseRepresentation
bin10000110101111111…
…01000101000000000
3212100012200001001120
420122333220220000
5122004430324210
64053151032240
7440042506302
oct103277505000
925305601046
109042823680
113920490300
12190450b680
13b115c5157
1461ada1972
1537dd3a270
hex21afe8a00

9042823680 has 480 divisors, whose sum is σ = 32758653312. Its totient is φ = 2124840960.

The previous prime is 9042823571. The next prime is 9042823687. The reversal of 9042823680 is 863282409.

It is a tau number, because it is divible by the number of its divisors (480).

It is not an unprimeable number, because it can be changed into a prime (9042823687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34383229 + ... + 34383491.

Almost surely, 29042823680 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 9042823680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16379326656).

9042823680 is an abundant number, since it is smaller than the sum of its proper divisors (23715829632).

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

9042823680 is a wasteful number, since it uses less digits than its factorization.

9042823680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 9042823680 is about 95093.7625714747. The cubic root of 9042823680 is about 2083.3777465661.

The spelling of 9042823680 in words is "nine billion, forty-two million, eight hundred twenty-three thousand, six hundred eighty".