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920186530000 = 245419232953137
BaseRepresentation
bin11010110001111110110…
…01000010100011010000
310020222011101022001112121
431120333121002203100
5110034020222430000
61542421114504024
7123324036310453
oct15307731024320
93228141261477
10920186530000
11325281341641
1212a408735014
1368a089b2c0a
143277438549a
1518e09840b1a
hexd63f6428d0

920186530000 has 800 divisors, whose sum is σ = 2598053356800. Its totient is φ = 313657344000.

The previous prime is 920186529989. The next prime is 920186530001. The reversal of 920186530000 is 35681029.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (920186530001) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 6716689932 + ... + 6716690068.

It is an arithmetic number, because the mean of its divisors is an integer number (3247566696).

Almost surely, 2920186530000 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 920186530000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1299026678400).

920186530000 is an abundant number, since it is smaller than the sum of its proper divisors (1677866826800).

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

920186530000 is a wasteful number, since it uses less digits than its factorization.

920186530000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The spelling of 920186530000 in words is "nine hundred twenty billion, one hundred eighty-six million, five hundred thirty thousand".