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27149230080 = 21334572167
BaseRepresentation
bin11001010010001110…
…000110000000000000
32121002002001210020000
4121102032012000000
5421100200330310
620245554120000
71650532435200
oct312216060000
977062053200
1027149230080
111057203a435
125318280000
1327388a01ab
1414579aa400
15a8d7114c0
hex652386000

27149230080 has 840 divisors, whose sum is σ = 113897499408. Its totient is φ = 6168379392.

The previous prime is 27149230079. The next prime is 27149230091. The reversal of 27149230080 is 8003294172.

27149230080 is a `hidden beast` number, since 271 + 4 + 9 + 2 + 300 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

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 59 ways as a sum of consecutive naturals, for example, 162570157 + ... + 162570323.

Almost surely, 227149230080 is an apocalyptic number.

27149230080 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 27149230080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56948749704).

27149230080 is an abundant number, since it is smaller than the sum of its proper divisors (86748269328).

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

27149230080 is an equidigital number, since it uses as much as digits as its factorization.

27149230080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 27149230080 in words is "twenty-seven billion, one hundred forty-nine million, two hundred thirty thousand, eighty".