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8103492000 = 2532531713241
BaseRepresentation
bin1111000110000000…
…10111100110100000
3202220202011001020100
413203000113212200
5113043443221000
63420033542400
7404545355052
oct74300274640
922822131210
108103492000
11348923452a
1216a1a14a00
139c1b0a1a6
1456c3278d2
1532663ea00
hex1e30179a0

8103492000 has 288 divisors, whose sum is σ = 30453315984. Its totient is φ = 2033664000.

The previous prime is 8103491993. The next prime is 8103492013. The reversal of 8103492000 is 2943018.

It can be written as a sum of positive squares in 8 ways, for example, as 3247632144 + 4855859856 = 56988^2 + 69684^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 605380 + ... + 618620.

Almost surely, 28103492000 is an apocalyptic number.

8103492000 is a gapful number since it is divisible by the number (80) 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 8103492000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15226657992).

8103492000 is an abundant number, since it is smaller than the sum of its proper divisors (22349823984).

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

8103492000 is a wasteful number, since it uses less digits than its factorization.

8103492000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13289 (or 13268 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 8103492000 is about 90019.3979095617. The cubic root of 8103492000 is about 2008.5874087665.

The spelling of 8103492000 in words is "eight billion, one hundred three million, four hundred ninety-two thousand".