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27059393088 = 2633721323161
BaseRepresentation
bin11001001100110111…
…011001001001000000
32120211211000121001000
4121030313121021000
5420404201034323
620233024412000
71645362021600
oct311467311100
976754017030
1027059393088
111052635a592
1252b2177000
1327230a7500
141449aa2c00
15a858b7e43
hex64cdd9240

27059393088 has 1008 divisors, whose sum is σ = 105131128320. Its totient is φ = 6793113600.

The previous prime is 27059393087. The next prime is 27059393093. The reversal of 27059393088 is 88039395072.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (27059393087) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 443596578 + ... + 443596638.

Almost surely, 227059393088 is an apocalyptic number.

27059393088 is a gapful number since it is divisible by the number (28) 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 27059393088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52565564160).

27059393088 is an abundant number, since it is smaller than the sum of its proper divisors (78071735232).

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

27059393088 is a wasteful number, since it uses less digits than its factorization.

27059393088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 27059393088 in words is "twenty-seven billion, fifty-nine million, three hundred ninety-three thousand, eighty-eight".