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10482356551680 = 2153651343157
BaseRepresentation
bin1001100010001001110100…
…1000111000000000000000
31101010002210110011221000000
42120202131020320000000
52333220331234123210
634143310024000000
72131216365364056
oct230423510700000
941102713157000
1010482356551680
1133815a6aa9672
121213674000000
135b0635bb4040
142834c501a1d6
15132a0bb4cac0
hex9889d238000

10482356551680 has 1792 divisors, whose sum is σ = 41829484767840. Its totient is φ = 2504213397504.

The previous prime is 10482356551669. The next prime is 10482356551703. The reversal of 10482356551680 is 8615565328401.

10482356551680 is a `hidden beast` number, since 1 + 0 + 4 + 8 + 2 + 3 + 5 + 6 + 551 + 6 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 66766602162 + ... + 66766602318.

Almost surely, 210482356551680 is an apocalyptic number.

10482356551680 is a gapful number since it is divisible by the number (10) 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 10482356551680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20914742383920).

10482356551680 is an abundant number, since it is smaller than the sum of its proper divisors (31347128216160).

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

10482356551680 is an frugal number, since it uses more digits than its factorization.

10482356551680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 10482356551680 in words is "ten trillion, four hundred eighty-two billion, three hundred fifty-six million, five hundred fifty-one thousand, six hundred eighty".