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27139499072 = 267319312099
BaseRepresentation
bin11001010001101000…
…111110010001000000
32121001101202101210022
4121101220332101000
5421040202432242
620245005353012
71650353636000
oct312150762100
977041671708
1027139499072
11105675a3384
125314b68768
132736873bba
141456596000
15a8c93d0d2
hex651a3e440

27139499072 has 224 divisors, whose sum is σ = 68275200000. Its totient is φ = 10658511360.

The previous prime is 27139499069. The next prime is 27139499099. The reversal of 27139499072 is 27099493172.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×271394990723 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 12928679 + ... + 12930777.

It is an arithmetic number, because the mean of its divisors is an integer number (304800000).

Almost surely, 227139499072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27139499072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34137600000).

27139499072 is an abundant number, since it is smaller than the sum of its proper divisors (41135700928).

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

27139499072 is a wasteful number, since it uses less digits than its factorization.

27139499072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2182 (or 2158 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 53.

The spelling of 27139499072 in words is "twenty-seven billion, one hundred thirty-nine million, four hundred ninety-nine thousand, seventy-two".