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2146701312 = 2123374759
BaseRepresentation
bin111111111110100…
…0001000000000000
312112121101201121000
41333331001000000
513344023420222
6553003132000
7104124442260
oct17775010000
95477351530
102146701312
11a01836518
124bab14000
1328298c982
141651657a0
15c86de9ac
hex7ff41000

2146701312 has 416 divisors, whose sum is σ = 7548825600. Its totient is φ = 590118912.

The previous prime is 2146701283. The next prime is 2146701379. The reversal of 2146701312 is 2131076412.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36384739 + ... + 36384797.

Almost surely, 22146701312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2146701312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3774412800).

2146701312 is an abundant number, since it is smaller than the sum of its proper divisors (5402124288).

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

2146701312 is an equidigital number, since it uses as much as digits as its factorization.

2146701312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 2146701312 is about 46332.5081557215. The cubic root of 2146701312 is about 1290.0024661932.

Adding to 2146701312 its reverse (2131076412), we get a palindrome (4277777724).

The spelling of 2146701312 in words is "two billion, one hundred forty-six million, seven hundred one thousand, three hundred twelve".