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2930199592320 = 2732572111379919
BaseRepresentation
bin101010101000111101100…
…000010111110110000000
3101101010100122111011202200
4222220331200113312000
5341002022043423240
610122040510313200
7421462035403200
oct52507540276600
911333318434680
102930199592320
11a2a766309340
123b3a85ab8800
13183416859120
14a1b729d8400
155134b90b930
hex2aa3d817d80

2930199592320 has 2304 divisors, whose sum is σ = 14018344704000. Its totient is φ = 554318069760.

The previous prime is 2930199592301. The next prime is 2930199592321. The reversal of 2930199592320 is 232959910392.

2930199592320 is a `hidden beast` number, since 2 + 9 + 3 + 0 + 19 + 9 + 592 + 32 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2930199592321) 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 287 ways as a sum of consecutive naturals, for example, 3188464821 + ... + 3188465739.

It is an arithmetic number, because the mean of its divisors is an integer number (6084351000).

Almost surely, 22930199592320 is an apocalyptic number.

2930199592320 is a gapful number since it is divisible by the number (20) 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 2930199592320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7009172352000).

2930199592320 is an abundant number, since it is smaller than the sum of its proper divisors (11088145111680).

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

2930199592320 is a wasteful number, since it uses less digits than its factorization.

2930199592320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061 (or 1039 counting only the distinct ones).

The product of its (nonzero) digits is 2361960, while the sum is 54.

The spelling of 2930199592320 in words is "two trillion, nine hundred thirty billion, one hundred ninety-nine million, five hundred ninety-two thousand, three hundred twenty".