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244485319680 = 2103457253227
BaseRepresentation
bin1110001110110001110…
…1011110110000000000
3212101001121021001220000
43203230131132300000
513001201220212210
6304152012520000
723443400633400
oct3435435366000
9771047231800
10244485319680
119475a653308
123b471780000
131a093708244
14bb94256800
15655dae9ac0
hex38ec75ec00

244485319680 has 1320 divisors, whose sum is σ = 1042936641648. Its totient is φ = 54586441728.

The previous prime is 244485319597. The next prime is 244485319699. The reversal of 244485319680 is 86913584442.

244485319680 is a `hidden beast` number, since 2 + 4 + 4 + 48 + 531 + 9 + 68 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1077027727 + ... + 1077027953.

Almost surely, 2244485319680 is an apocalyptic number.

244485319680 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 244485319680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521468320824).

244485319680 is an abundant number, since it is smaller than the sum of its proper divisors (798451321968).

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

244485319680 is a wasteful number, since it uses less digits than its factorization.

244485319680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 244485319680 in words is "two hundred forty-four billion, four hundred eighty-five million, three hundred nineteen thousand, six hundred eighty".