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844994104920 = 233357139804113
BaseRepresentation
bin11000100101111011001…
…00101100111001011000
32222210002002111002112000
430102331210230321120
5102321021442324140
61444103540121000
7115022512245330
oct14227544547130
92883062432460
10844994104920
112a63a6163779
12117922996160
13618b48a54b4
142cc7dcdc0c0
1516ea8468a30
hexc4bd92ce58

844994104920 has 256 divisors, whose sum is σ = 3242187648000. Its totient is φ = 191751763968.

The previous prime is 844994104909. The next prime is 844994104931. The reversal of 844994104920 is 29401499448.

It is a happy number.

844994104920 is a `hidden beast` number, since 8 + 449 + 9 + 4 + 104 + 92 + 0 = 666.

844994104920 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (844994104909) and next prime (844994104931).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 648784 + ... + 1452896.

It is an arithmetic number, because the mean of its divisors is an integer number (12664795500).

Almost surely, 2844994104920 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 844994104920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1621093824000).

844994104920 is an abundant number, since it is smaller than the sum of its proper divisors (2397193543080).

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

844994104920 is a wasteful number, since it uses less digits than its factorization.

844994104920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804279 (or 804269 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 844994104920 in words is "eight hundred forty-four billion, nine hundred ninety-four million, one hundred four thousand, nine hundred twenty".