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244096849920 = 21135711372789
BaseRepresentation
bin1110001101010101001…
…1100101100000000000
3212100001112021202120010
43203111103211200000
512444402243144140
6304045254344520
723430642663450
oct3432523454000
9770045252503
10244096849920
1194580343220
123b38365b140
131a0310a2b91
14bb58813d60
156539962880
hex38d54e5800

244096849920 has 768 divisors, whose sum is σ = 1000285977600. Its totient is φ = 49332879360.

The previous prime is 244096849901. The next prime is 244096849963. The reversal of 244096849920 is 29948690442.

It is a tau number, because it is divible by the number of its divisors (768).

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, 87519886 + ... + 87522674.

It is an arithmetic number, because the mean of its divisors is an integer number (1302455700).

Almost surely, 2244096849920 is an apocalyptic number.

244096849920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 244096849920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500142988800).

244096849920 is an abundant number, since it is smaller than the sum of its proper divisors (756189127680).

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

244096849920 is a wasteful number, since it uses less digits than its factorization.

244096849920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2874 (or 2854 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 57.

The spelling of 244096849920 in words is "two hundred forty-four billion, ninety-six million, eight hundred forty-nine thousand, nine hundred twenty".