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8190086040 = 23335192913763
BaseRepresentation
bin1111010000010101…
…01100101110011000
3210010210002110221000
413220022230232120
5113233130223130
63432405545000
7406646403603
oct75012545630
923123073830
108190086040
1135230a9954
121706a15160
13a06a38a76
14579a2933a
1532e047260
hex1e82acb98

8190086040 has 256 divisors, whose sum is σ = 29730240000. Its totient is φ = 1997581824.

The previous prime is 8190086033. The next prime is 8190086053. The reversal of 8190086040 is 406800918.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8190085986 and 8190086004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 588199 + ... + 601961.

It is an arithmetic number, because the mean of its divisors is an integer number (116133750).

Almost surely, 28190086040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8190086040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14865120000).

8190086040 is an abundant number, since it is smaller than the sum of its proper divisors (21540153960).

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

8190086040 is a wasteful number, since it uses less digits than its factorization.

8190086040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13831 (or 13821 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 8190086040 is about 90499.0941391128. The cubic root of 8190086040 is about 2015.7166729101.

Adding to 8190086040 its reverse (406800918), we get a palindrome (8596886958).

The spelling of 8190086040 in words is "eight billion, one hundred ninety million, eighty-six thousand, forty".