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27901698048 = 2133476007
BaseRepresentation
bin11001111111000100…
…100010000000000000
32200000111222010020000
4121333010202000000
5424120313314143
620452354120000
72005300343310
oct317704420000
980014863200
1027901698048
1110918865794
1254a8280000
132828750103
1414c98c1440
15ad47e9bd3
hex67f122000

27901698048 has 280 divisors, whose sum is σ = 95279333952. Its totient is φ = 7970586624.

The previous prime is 27901698023. The next prime is 27901698053. The reversal of 27901698048 is 84089610972.

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

It is a junction number, because it is equal to n+sod(n) for n = 27901697985 and 27901698003.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4641861 + ... + 4647867.

Almost surely, 227901698048 is an apocalyptic number.

27901698048 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 27901698048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47639666976).

27901698048 is an abundant number, since it is smaller than the sum of its proper divisors (67377635904).

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

27901698048 is an frugal number, since it uses more digits than its factorization.

27901698048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6052 (or 6019 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 27901698048 in words is "twenty-seven billion, nine hundred one million, six hundred ninety-eight thousand, forty-eight".