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6834100896 = 2536741851
BaseRepresentation
bin1100101110101100…
…00001101010100000
3122122021120022000000
412113112001222200
5102444012212041
63050050300000
7331232620260
oct62726015240
918567508000
106834100896
112997743177
1213a8887600
1384bb2b3ac
1448b8d37a0
1529ee98bb6
hex197581aa0

6834100896 has 168 divisors, whose sum is σ = 23055094944. Its totient is φ = 1952553600.

The previous prime is 6834100843. The next prime is 6834100927. The reversal of 6834100896 is 6980014386.

It is a tau number, because it is divible by the number of its divisors (168).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 142371 + ... + 184221.

It is an arithmetic number, because the mean of its divisors is an integer number (137232708).

Almost surely, 26834100896 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 6834100896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11527547472).

6834100896 is an abundant number, since it is smaller than the sum of its proper divisors (16220994048).

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

6834100896 is an equidigital number, since it uses as much as digits as its factorization.

6834100896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41886 (or 41863 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 6834100896 is about 82668.6209876517. The cubic root of 6834100896 is about 1897.6981261352.

The spelling of 6834100896 in words is "six billion, eight hundred thirty-four million, one hundred thousand, eight hundred ninety-six".