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6018206040 = 2335571121743
BaseRepresentation
bin1011001101011011…
…01000100101011000
3120112102022112200000
411212231220211120
544311130043130
62433103013000
7302064623130
oct54655504530
916472275600
106018206040
112609136300
1211bb59a160
1374baa1782
144113cbac0
15253532260
hex166b68958

6018206040 has 1152 divisors, whose sum is σ = 27606458880. Its totient is φ = 1149603840.

The previous prime is 6018206027. The next prime is 6018206071. The reversal of 6018206040 is 406028106.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 6018205995 and 6018206013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 139958259 + ... + 139958301.

It is an arithmetic number, because the mean of its divisors is an integer number (23963940).

Almost surely, 26018206040 is an apocalyptic number.

6018206040 is a gapful number since it is divisible by the number (60) 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 6018206040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13803229440).

6018206040 is an abundant number, since it is smaller than the sum of its proper divisors (21588252840).

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

6018206040 is a wasteful number, since it uses less digits than its factorization.

6018206040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 6018206040 is about 77577.0973934962. The cubic root of 6018206040 is about 1818.9566575675.

The spelling of 6018206040 in words is "six billion, eighteen million, two hundred six thousand, forty".