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13327174080 = 2633511140227
BaseRepresentation
bin11000110100101110…
…01000100111000000
31021101210102120221000
430122113020213000
5204243224032310
610042235332000
7651155052633
oct143227104700
937353376830
1013327174080
11571992a160
1226bb2b1000
1313450c542c
14905db3c1a
1553002c4c0
hex31a5c89c0

13327174080 has 224 divisors, whose sum is σ = 51289793280. Its totient is φ = 3230807040.

The previous prime is 13327174057. The next prime is 13327174093. The reversal of 13327174080 is 8047172331.

It is a super-2 number, since 2×133271740802 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24927 + ... + 165153.

Almost surely, 213327174080 is an apocalyptic number.

13327174080 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 13327174080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25644896640).

13327174080 is an abundant number, since it is smaller than the sum of its proper divisors (37962619200).

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

13327174080 is a wasteful number, since it uses less digits than its factorization.

13327174080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140264 (or 140248 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 13327174080 in words is "thirteen billion, three hundred twenty-seven million, one hundred seventy-four thousand, eighty".