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925346068920 = 23325713197871889
BaseRepresentation
bin11010111011100101110…
…11000111100110111000
310021110110221212210100200
431131302323013212320
5110130102043201140
61545033105402200
7123565636544130
oct15356273074670
93243427783320
10925346068920
11327489806599
1212b408639360
136934b900420
1432b036d5ac0
151910c7ad030
hexd772ec79b8

925346068920 has 768 divisors, whose sum is σ = 3903209856000. Its totient is φ = 184629362688.

The previous prime is 925346068897. The next prime is 925346068937. The reversal of 925346068920 is 29860643529.

It is a happy number.

925346068920 is a `hidden beast` number, since 9 + 2 + 5 + 3 + 4 + 606 + 8 + 9 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 489859336 + ... + 489861224.

It is an arithmetic number, because the mean of its divisors is an integer number (5082304500).

Almost surely, 2925346068920 is an apocalyptic number.

925346068920 is a gapful number since it is divisible by the number (90) 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 925346068920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1951604928000).

925346068920 is an abundant number, since it is smaller than the sum of its proper divisors (2977863787080).

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

925346068920 is a wasteful number, since it uses less digits than its factorization.

925346068920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2732 (or 2725 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 925346068920 in words is "nine hundred twenty-five billion, three hundred forty-six million, sixty-eight thousand, nine hundred twenty".