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489465041760 = 253351734719207
BaseRepresentation
bin1110001111101100110…
…00111101001101100000
31201210101122211101101000
413013312120331031200
531004411022314020
61012505050312000
750235254131362
oct7076630751540
91653348741330
10489465041760
1117964328a442
127aa40a28600
1337205688786
1419994008d32
15caead04090
hex71f663d360

489465041760 has 384 divisors, whose sum is σ = 1819221949440. Its totient is φ = 122485727232.

The previous prime is 489465041759. The next prime is 489465041773. The reversal of 489465041760 is 67140564984.

489465041760 is a `hidden beast` number, since 4 + 8 + 9 + 465 + 0 + 4 + 176 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 489465041697 and 489465041706.

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, 25474077 + ... + 25493283.

It is an arithmetic number, because the mean of its divisors is an integer number (4737557160).

Almost surely, 2489465041760 is an apocalyptic number.

489465041760 is a gapful number since it is divisible by the number (40) 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 489465041760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909610974720).

489465041760 is an abundant number, since it is smaller than the sum of its proper divisors (1329756907680).

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

489465041760 is a wasteful number, since it uses less digits than its factorization.

489465041760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19595 (or 19581 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 489465041760 in words is "four hundred eighty-nine billion, four hundred sixty-five million, forty-one thousand, seven hundred sixty".