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27471407980380 = 2235713315314332137
BaseRepresentation
bin1100011111100001011111…
…00000111001111101011100
310121021020111122201002212220
412033300233200321331130
512100042420420333010
6134232105100425340
75533513046013630
oct617605740717534
9117236448632786
1027471407980380
1188316166992a1
1230b8186b48250
1312437092a9010
146ad8a225adc0
153298daead970
hex18fc2f839f5c

27471407980380 has 768 divisors, whose sum is σ = 99684559650816. Its totient is φ = 5496944394240.

The previous prime is 27471407980361. The next prime is 27471407980391. The reversal of 27471407980380 is 8308970417472.

It is a super-3 number, since 3×274714079803803 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 12855126672 + ... + 12855128808.

It is an arithmetic number, because the mean of its divisors is an integer number (129797603712).

Almost surely, 227471407980380 is an apocalyptic number.

27471407980380 is a gapful number since it is divisible by the number (20) 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 27471407980380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49842279825408).

27471407980380 is an abundant number, since it is smaller than the sum of its proper divisors (72213151670436).

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

27471407980380 is a wasteful number, since it uses less digits than its factorization.

27471407980380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3686 (or 3684 counting only the distinct ones).

The product of its (nonzero) digits is 18966528, while the sum is 60.

The spelling of 27471407980380 in words is "twenty-seven trillion, four hundred seventy-one billion, four hundred seven million, nine hundred eighty thousand, three hundred eighty".