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2157894144 = 29327219503
BaseRepresentation
bin1000000010011110…
…1101101000000000
312120101110101021100
42000213231220000
513404410103034
6554043054400
7104321540400
oct20047555000
95511411240
102157894144
11a0809089a
12502811400
132850ab453
1416683a800
15c96a1099
hex809eda00

2157894144 has 360 divisors, whose sum is σ = 7641073440. Its totient is φ = 582930432.

The previous prime is 2157894119. The next prime is 2157894149. The reversal of 2157894144 is 4414987512.

2157894144 is a `hidden beast` number, since 2 + 157 + 89 + 414 + 4 = 666.

Its product of digits (322560) is a multiple of the sum of its prime factors (560).

It is a self number, because there is not a number n which added to its sum of digits gives 2157894144.

It is not an unprimeable number, because it can be changed into a prime (2157894149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4289797 + ... + 4290299.

It is an arithmetic number, because the mean of its divisors is an integer number (21225204).

Almost surely, 22157894144 is an apocalyptic number.

2157894144 is a gapful number since it is divisible by the number (24) 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 2157894144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3820536720).

2157894144 is an abundant number, since it is smaller than the sum of its proper divisors (5483179296).

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

2157894144 is a wasteful number, since it uses less digits than its factorization.

2157894144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 534 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 2157894144 is about 46453.1392265367. The cubic root of 2157894144 is about 1292.2405913878.

The spelling of 2157894144 in words is "two billion, one hundred fifty-seven million, eight hundred ninety-four thousand, one hundred forty-four".