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2285872467120 = 24325112331563719
BaseRepresentation
bin100001010000111000100…
…111011100110010110000
322002112020101022211220200
4201100320213130302300
5244422431322421440
64510040524035200
7324102023245044
oct41207047346260
98075211284820
102285872467120
11801484462580
1230b026092b00
13137731520568
147c8cb5dc024
153e6da265c30
hex214389dccb0

2285872467120 has 960 divisors, whose sum is σ = 9049203671040. Its totient is φ = 511335475200.

The previous prime is 2285872467107. The next prime is 2285872467163. The reversal of 2285872467120 is 217642785822.

It is a happy number.

2285872467120 is a `hidden beast` number, since 2 + 2 + 8 + 58 + 7 + 2 + 467 + 120 = 666.

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, 3179238121 + ... + 3179238839.

It is an arithmetic number, because the mean of its divisors is an integer number (9426253824).

Almost surely, 22285872467120 is an apocalyptic number.

2285872467120 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 2285872467120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4524601835520).

2285872467120 is an abundant number, since it is smaller than the sum of its proper divisors (6763331203920).

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

2285872467120 is a wasteful number, since it uses less digits than its factorization.

2285872467120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1366 (or 1357 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 2285872467120 in words is "two trillion, two hundred eighty-five billion, eight hundred seventy-two million, four hundred sixty-seven thousand, one hundred twenty".