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244660993920 = 27325714594159
BaseRepresentation
bin1110001111011011101…
…1100111111110000000
3212101111211211020122100
43203312323213332000
513002031203301140
6304221250110400
723450633064240
oct3436673477600
9771454736570
10244660993920
119483a830a32
123b50057b400
131a0c0c261b5
14bbad705b20
15656e24b530
hex38f6ee7f80

244660993920 has 384 divisors, whose sum is σ = 966431232000. Its totient is φ = 55870746624.

The previous prime is 244660993919. The next prime is 244660993931. The reversal of 244660993920 is 29399066442.

244660993920 is a `hidden beast` number, since 2 + 4 + 4 + 6 + 609 + 9 + 3 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58824801 + ... + 58828959.

It is an arithmetic number, because the mean of its divisors is an integer number (2516748000).

Almost surely, 2244660993920 is an apocalyptic number.

244660993920 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 244660993920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483215616000).

244660993920 is an abundant number, since it is smaller than the sum of its proper divisors (721770238080).

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

244660993920 is a wasteful number, since it uses less digits than its factorization.

244660993920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5650 (or 5635 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 244660993920 in words is "two hundred forty-four billion, six hundred sixty million, nine hundred ninety-three thousand, nine hundred twenty".