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844426023168 = 28371315717691
BaseRepresentation
bin11000100100110111011…
…01101001000100000000
32222201121111112112212010
430102123231221010000
5102313341030220133
61443531324132520
7115002443524320
oct14223355510400
92881544475763
10844426023168
112a6134526522
121177a4697140
1361823ca3a50
142cc286a3280
1516e73653263
hexc49bb69100

844426023168 has 288 divisors, whose sum is σ = 2768157084672. Its totient is φ = 222535065600.

The previous prime is 844426023167. The next prime is 844426023173. The reversal of 844426023168 is 861320624448.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (844426023167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109790203 + ... + 109797893.

It is an arithmetic number, because the mean of its divisors is an integer number (9611656544).

Almost surely, 2844426023168 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 844426023168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1384078542336).

844426023168 is an abundant number, since it is smaller than the sum of its proper divisors (1923731061504).

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

844426023168 is a wasteful number, since it uses less digits than its factorization.

844426023168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9301 (or 9287 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 48.

The spelling of 844426023168 in words is "eight hundred forty-four billion, four hundred twenty-six million, twenty-three thousand, one hundred sixty-eight".