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42780578233536 = 263211133731392449
BaseRepresentation
bin10011011101000101000010…
…01010110011110011000000
312121110210011001102122022100
421232202201022303303000
521101404111011433121
6230553043141510400
712003536416052013
oct1156424112636300
9177423131378270
1042780578233536
11126a4161141a90
12496b1b5112400
131ab4264147ca0
14a7c83bb2737a
154e2c4adde026
hex26e8a12b3cc0

42780578233536 has 336 divisors, whose sum is σ = 144446680778400. Its totient is φ = 11934504714240.

The previous prime is 42780578233517. The next prime is 42780578233543. The reversal of 42780578233536 is 63533287508724.

42780578233536 is a `hidden beast` number, since 4 + 2 + 7 + 8 + 0 + 5 + 78 + 23 + 3 + 536 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30027040 + ... + 31419488.

It is an arithmetic number, because the mean of its divisors is an integer number (429900835650).

Almost surely, 242780578233536 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 42780578233536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72223340389200).

42780578233536 is an abundant number, since it is smaller than the sum of its proper divisors (101666102544864).

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

42780578233536 is a wasteful number, since it uses less digits than its factorization.

42780578233536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1392864 (or 1392851 counting only the distinct ones).

The product of its (nonzero) digits is 203212800, while the sum is 63.

The spelling of 42780578233536 in words is "forty-two trillion, seven hundred eighty billion, five hundred seventy-eight million, two hundred thirty-three thousand, five hundred thirty-six".