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2143794901248 = 28327211131929241
BaseRepresentation
bin11111001100100100001…
…000100011000100000000
321120221111202022200120100
4133030210020203010000
5240110442443314443
64320502404442400
7310612143666300
oct37144410430400
97527452280510
102143794901248
117571a6373450
122a75946a9400
1312720b3c6a60
1475a900c3600
153ab71e5e3d3
hex1f324223100

2143794901248 has 2592 divisors, whose sum is σ = 9236661033600. Its totient is φ = 468202291200.

The previous prime is 2143794901169. The next prime is 2143794901271. The reversal of 2143794901248 is 8421094973412.

2143794901248 is a `hidden beast` number, since 2 + 1 + 43 + 79 + 490 + 1 + 2 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2143794901194 and 2143794901203.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8895414408 + ... + 8895414648.

Almost surely, 22143794901248 is an apocalyptic number.

2143794901248 is a gapful number since it is divisible by the number (28) 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 2143794901248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4618330516800).

2143794901248 is an abundant number, since it is smaller than the sum of its proper divisors (7092866132352).

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

2143794901248 is a wasteful number, since it uses less digits than its factorization.

2143794901248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 2143794901248 in words is "two trillion, one hundred forty-three billion, seven hundred ninety-four million, nine hundred one thousand, two hundred forty-eight".