Search a number
-
+
27606020640 = 25351143121591
BaseRepresentation
bin11001101101011100…
…100111001000100000
32122020220121011001220
4121231130213020200
5423014120130030
620403152455040
71665050206122
oct315534471040
978226534056
1027606020640
11107869739a0
12542524a480
1327ac406973
14149c515212
15ab8891a10
hex66d727220

27606020640 has 192 divisors, whose sum is σ = 97071270912. Its totient is φ = 6536678400.

The previous prime is 27606020591. The next prime is 27606020677. The reversal of 27606020640 is 4602060672.

It is a super-2 number, since 2×276060206402 (a number of 22 digits) contains 22 as substring.

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

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, 166245 + ... + 287835.

It is an arithmetic number, because the mean of its divisors is an integer number (505579536).

Almost surely, 227606020640 is an apocalyptic number.

27606020640 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 27606020640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48535635456).

27606020640 is an abundant number, since it is smaller than the sum of its proper divisors (69465250272).

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

27606020640 is a wasteful number, since it uses less digits than its factorization.

27606020640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121663 (or 121655 counting only the distinct ones).

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

The spelling of 27606020640 in words is "twenty-seven billion, six hundred six million, twenty thousand, six hundred forty".