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18450978660 = 22345193161317
BaseRepresentation
bin10001001011110000…
…111001011101100100
31202121212202211110000
4101023300321131210
5300241422304120
612250512301300
71222142505462
oct211360713544
952555684400
1018450978660
1179091073a4
1236ab241830
1319807b086a
14c706a1832
1572ec8b990
hex44bc39764

18450978660 has 480 divisors, whose sum is σ = 64125895680. Its totient is φ = 4422988800.

The previous prime is 18450978653. The next prime is 18450978673. The reversal of 18450978660 is 6687905481.

18450978660 is a `hidden beast` number, since 1 + 8 + 4 + 509 + 78 + 6 + 60 = 666.

It is a super-2 number, since 2×184509786602 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 18450978597 and 18450978606.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 58204822 + ... + 58205138.

It is an arithmetic number, because the mean of its divisors is an integer number (133595616).

Almost surely, 218450978660 is an apocalyptic number.

18450978660 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 18450978660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32062947840).

18450978660 is an abundant number, since it is smaller than the sum of its proper divisors (45674917020).

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

18450978660 is a wasteful number, since it uses less digits than its factorization.

18450978660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

It can be divided in two parts, 184509 and 78660, that added together give a square (263169 = 5132).

The spelling of 18450978660 in words is "eighteen billion, four hundred fifty million, nine hundred seventy-eight thousand, six hundred sixty".