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18936867840 = 2103511223443
BaseRepresentation
bin10001101000101110…
…011010110000000000
31210212202001120002120
4101220232122300000
5302240314232330
612411030444240
71240162502142
oct215056326000
953782046076
1018936867840
118038406100
123805b03680
131a2a364c57
14cb9022c92
1575c768c10
hex468b9ac00

18936867840 has 528 divisors, whose sum is σ = 69626559744. Its totient is φ = 4381245440.

The previous prime is 18936867827. The next prime is 18936867853. The reversal of 18936867840 is 4876863981.

It is an interprime number because it is at equal distance from previous prime (18936867827) and next prime (18936867853).

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42746659 + ... + 42747101.

Almost surely, 218936867840 is an apocalyptic number.

18936867840 is a gapful number since it is divisible by the number (10) 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 18936867840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34813279872).

18936867840 is an abundant number, since it is smaller than the sum of its proper divisors (50689691904).

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

18936867840 is a wasteful number, since it uses less digits than its factorization.

18936867840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 60.

The spelling of 18936867840 in words is "eighteen billion, nine hundred thirty-six million, eight hundred sixty-seven thousand, eight hundred forty".