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27074939808 = 25372192313171
BaseRepresentation
bin11001001101110010…
…101100101110100000
32120212220021110010110
4121031302230232200
5420422141033213
620234341531320
71645641122400
oct311562545640
976786243113
1027074939808
1110534109014
1252b7413b40
13272638b957
14144bb8c800
15a86e395c3
hex64dcacba0

27074939808 has 288 divisors, whose sum is σ = 90817251840. Its totient is φ = 7009390080.

The previous prime is 27074939807. The next prime is 27074939821. The reversal of 27074939808 is 80893947072.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (27074939807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2049063 + ... + 2062233.

It is an arithmetic number, because the mean of its divisors is an integer number (315337680).

Almost surely, 227074939808 is an apocalyptic number.

27074939808 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 27074939808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45408625920).

27074939808 is an abundant number, since it is smaller than the sum of its proper divisors (63742312032).

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

27074939808 is a wasteful number, since it uses less digits than its factorization.

27074939808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13240 (or 13225 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 57.

The spelling of 27074939808 in words is "twenty-seven billion, seventy-four million, nine hundred thirty-nine thousand, eight hundred eight".