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489987368640 = 2633571129109233
BaseRepresentation
bin1110010000101011000…
…01011110011011000000
31201211202001200100011000
413020111201132123000
531011443231244030
61013032545452000
750254225625310
oct7102541363300
91654661610130
10489987368640
11179891106350
127ab67941000
133728995a133
1419a03533440
15cb2bacc860
hex721585e6c0

489987368640 has 1792 divisors, whose sum is σ = 2259518976000. Its totient is φ = 96984760320.

The previous prime is 489987368609. The next prime is 489987368653. The reversal of 489987368640 is 46863789984.

489987368640 is a `hidden beast` number, since 48 + 99 + 87 + 368 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2102949964 + ... + 2102950196.

Almost surely, 2489987368640 is an apocalyptic number.

489987368640 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 489987368640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1129759488000).

489987368640 is an abundant number, since it is smaller than the sum of its proper divisors (1769531607360).

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

489987368640 is a wasteful number, since it uses less digits than its factorization.

489987368640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 501645312, while the sum is 72.

The spelling of 489987368640 in words is "four hundred eighty-nine billion, nine hundred eighty-seven million, three hundred sixty-eight thousand, six hundred forty".