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5680141479936 = 212347112172941
BaseRepresentation
bin101001010101000001011…
…0100001011000000000000
3202010000102211022011220000
41102222002310023000000
51221030412204324221
620025230532520000
71124243125644540
oct122520264130000
922100384264800
105680141479936
11189aa3086a100
12778a23a80000
13322834261401
14158cc54b3320
159cb481a7e26
hex52a82d0b000

5680141479936 has 3120 divisors, whose sum is σ = 23917014918720. Its totient is φ = 1307993702400.

The previous prime is 5680141479913. The next prime is 5680141479967. The reversal of 5680141479936 is 6399741410865.

5680141479936 is a `hidden beast` number, since 5 + 68 + 0 + 1 + 414 + 79 + 93 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 239 ways as a sum of consecutive naturals, for example, 138540036076 + ... + 138540036116.

Almost surely, 25680141479936 is an apocalyptic number.

5680141479936 is a gapful number since it is divisible by the number (56) 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 5680141479936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11958507459360).

5680141479936 is an abundant number, since it is smaller than the sum of its proper divisors (18236873438784).

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

5680141479936 is a wasteful number, since it uses less digits than its factorization.

5680141479936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 5680141479936 in words is "five trillion, six hundred eighty billion, one hundred forty-one million, four hundred seventy-nine thousand, nine hundred thirty-six".