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5985640475136 = 29337218674733
BaseRepresentation
bin101011100011010001111…
…1110010110101000000000
3210012012222120120002221000
41113012203332112220000
51241032042430201021
620421433144332000
71155306515365200
oct127064376265000
923165876502830
105985640475136
1119a8550003933
12808082a74000
1334559c41151a
141699c6a8a400
15a5a784d8b26
hex571a3f96a00

5985640475136 has 480 divisors, whose sum is σ = 20626028153280. Its totient is φ = 1708905848832.

The previous prime is 5985640475119. The next prime is 5985640475183. The reversal of 5985640475136 is 6315740465895.

It is a happy number.

5985640475136 is a `hidden beast` number, since 5 + 98 + 5 + 6 + 40 + 475 + 1 + 36 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1264658626 + ... + 1264663358.

It is an arithmetic number, because the mean of its divisors is an integer number (42970891986).

Almost surely, 25985640475136 is an apocalyptic number.

5985640475136 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 5985640475136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10313014076640).

5985640475136 is an abundant number, since it is smaller than the sum of its proper divisors (14640387678144).

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

5985640475136 is a wasteful number, since it uses less digits than its factorization.

5985640475136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6641 (or 6612 counting only the distinct ones).

The product of its (nonzero) digits is 108864000, while the sum is 63.

The spelling of 5985640475136 in words is "five trillion, nine hundred eighty-five billion, six hundred forty million, four hundred seventy-five thousand, one hundred thirty-six".