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2142684248922 = 2367337432693
BaseRepresentation
bin11111001011100001111…
…011101111101101011010
321120211122100102201000000
4133023201323233231122
5240101204131431142
64320200251353430
7310542466416000
oct37134173575532
97524570381000
102142684248922
11756786442968
122a7324752876
13127092286629
14759c67b0a70
153ab096c214c
hex1f2e1eefb5a

2142684248922 has 448 divisors, whose sum is σ = 5907929068800. Its totient is φ = 581581316736.

The previous prime is 2142684248921. The next prime is 2142684248923. The reversal of 2142684248922 is 2298424862412.

2142684248922 is a `hidden beast` number, since 2 + 1 + 42 + 68 + 42 + 489 + 22 = 666.

It is an interprime number because it is at equal distance from previous prime (2142684248921) and next prime (2142684248923).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2142684248921) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 795648208 + ... + 795650900.

Almost surely, 22142684248922 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2142684248922, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2953964534400).

2142684248922 is an abundant number, since it is smaller than the sum of its proper divisors (3765244819878).

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

2142684248922 is an equidigital number, since it uses as much as digits as its factorization.

2142684248922 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2814 (or 2785 counting only the distinct ones).

The product of its digits is 7077888, while the sum is 54.

The spelling of 2142684248922 in words is "two trillion, one hundred forty-two billion, six hundred eighty-four million, two hundred forty-eight thousand, nine hundred twenty-two".