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2148705792 = 2934197263
BaseRepresentation
bin1000000000010010…
…1010011000000000
312112202011120020000
42000010222120000
513400032041132
6553114120000
7104150461242
oct20004523000
95482146200
102148705792
11a02985512
124bb720000
1328321215c
14165528092
15c898887c
hex8012a600

2148705792 has 200 divisors, whose sum is σ = 6470384976. Its totient is φ = 709890048.

The previous prime is 2148705751. The next prime is 2148705799. The reversal of 2148705792 is 2975078412.

It is a happy number.

2148705792 is a `hidden beast` number, since 2 + 1 + 4 + 8 + 70 + 579 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2148705799) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8169853 + ... + 8170115.

Almost surely, 22148705792 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 2148705792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3235192488).

2148705792 is an abundant number, since it is smaller than the sum of its proper divisors (4321679184).

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

2148705792 is an equidigital number, since it uses as much as digits as its factorization.

2148705792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 2148705792 is about 46354.1345728728. The cubic root of 2148705792 is about 1290.4038540842.

The spelling of 2148705792 in words is "two billion, one hundred forty-eight million, seven hundred five thousand, seven hundred ninety-two".