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27140206632 = 233721119234801
BaseRepresentation
bin11001010001101011…
…101011000000101000
32121001110002100101020
4121101223223000220
5421040343103012
620245032452440
71650362643600
oct312153530050
977043070336
1027140206632
1110567a36a40
12531524a120
132736a60c86
1414566dbc00
15a8ca2ca8c
hex651aeb028

27140206632 has 384 divisors, whose sum is σ = 94595558400. Its totient is φ = 6386688000.

The previous prime is 27140206579. The next prime is 27140206649. The reversal of 27140206632 is 23660204172.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 27140206593 and 27140206602.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5650632 + ... + 5655432.

It is an arithmetic number, because the mean of its divisors is an integer number (246342600).

Almost surely, 227140206632 is an apocalyptic number.

27140206632 is a gapful number since it is divisible by the number (22) 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 27140206632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47297779200).

27140206632 is an abundant number, since it is smaller than the sum of its proper divisors (67455351768).

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

27140206632 is a wasteful number, since it uses less digits than its factorization.

27140206632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4877 (or 4866 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The spelling of 27140206632 in words is "twenty-seven billion, one hundred forty million, two hundred six thousand, six hundred thirty-two".