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2842269696 = 21133721049
BaseRepresentation
bin1010100101101001…
…1001100000000000
321100002020021001000
42221122121200000
521310110112241
61150011412000
7130301615400
oct25132314000
97302207030
102842269696
111229429322
12673a54000
13363b09bb6
141cd6a8800
151197d8eb6
hexa9699800

2842269696 has 288 divisors, whose sum is σ = 9803430000. Its totient is φ = 811302912.

The previous prime is 2842269649. The next prime is 2842269697. The reversal of 2842269696 is 6969622482.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2842269697) 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 23 ways as a sum of consecutive naturals, for example, 2708980 + ... + 2710028.

Almost surely, 22842269696 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 2842269696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4901715000).

2842269696 is an abundant number, since it is smaller than the sum of its proper divisors (6961160304).

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

2842269696 is a wasteful number, since it uses less digits than its factorization.

2842269696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094 (or 1061 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The square root of 2842269696 is about 53312.9411681629. The cubic root of 2842269696 is about 1416.5169040731.

The spelling of 2842269696 in words is "two billion, eight hundred forty-two million, two hundred sixty-nine thousand, six hundred ninety-six".