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18930162240 = 2633511199181
BaseRepresentation
bin10001101000010100…
…110101101001000000
31210212021102212202000
4101220110311221000
5302232110142430
612410231024000
71240051503243
oct215024655100
953767385660
1018930162240
118034646090
12380380b000
131a28b57a42
14cb819925a
1575bd91e60
hex468535a40

18930162240 has 224 divisors, whose sum is σ = 72852808320. Its totient is φ = 4589107200.

The previous prime is 18930162239. The next prime is 18930162241. The reversal of 18930162240 is 4226103981.

It is an interprime number because it is at equal distance from previous prime (18930162239) and next prime (18930162241).

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 = 18930162195 and 18930162204.

It is not an unprimeable number, because it can be changed into a prime (18930162241) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4551 + ... + 194630.

Almost surely, 218930162240 is an apocalyptic number.

18930162240 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 18930162240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36426404160).

18930162240 is an abundant number, since it is smaller than the sum of its proper divisors (53922646080).

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

18930162240 is a wasteful number, since it uses less digits than its factorization.

18930162240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199218 (or 199202 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 18930162240 in words is "eighteen billion, nine hundred thirty million, one hundred sixty-two thousand, two hundred forty".